MMC de 169 e 612

O primeiro método para encontrar o MMC dos números 169 e 612 é encontrar o Máximo Divisor Comum (MDC) destes números. A fórmula:

MMC = (Número1 × Número2) ÷ MDC

MDC dos números 169 e 612 é 1, então

MMC = (169 × 612) ÷ 1

MMC = 103.428 ÷ 1

MMC = 103.428

O segundo método para encontrar o MMC dos números 169 e 612 é listar os múltiplos de ambos os números e escolher o primeiro que coincida:

Múltiplos de 169: 169, 338, 507, 676, 845, 1.014, 1.183, 1.352, 1.521, 1.690, 1.859, 2.028, 2.197, 2.366, 2.535, 2.704, 2.873, 3.042, 3.211, 3.380, 3.549, 3.718, 3.887, 4.056, 4.225, 4.394, 4.563, 4.732, 4.901, 5.070, 5.239, 5.408, 5.577, 5.746, 5.915, 6.084, 6.253, 6.422, 6.591, 6.760, 6.929, 7.098, 7.267, 7.436, 7.605, 7.774, 7.943, 8.112, 8.281, 8.450, 8.619, 8.788, 8.957, 9.126, 9.295, 9.464, 9.633, 9.802, 9.971, 10.140, 10.309, 10.478, 10.647, 10.816, 10.985, 11.154, 11.323, 11.492, 11.661, 11.830, 11.999, 12.168, 12.337, 12.506, 12.675, 12.844, 13.013, 13.182, 13.351, 13.520, 13.689, 13.858, 14.027, 14.196, 14.365, 14.534, 14.703, 14.872, 15.041, 15.210, 15.379, 15.548, 15.717, 15.886, 16.055, 16.224, 16.393, 16.562, 16.731, 16.900, 17.069, 17.238, 17.407, 17.576, 17.745, 17.914, 18.083, 18.252, 18.421, 18.590, 18.759, 18.928, 19.097, 19.266, 19.435, 19.604, 19.773, 19.942, 20.111, 20.280, 20.449, 20.618, 20.787, 20.956, 21.125, 21.294, 21.463, 21.632, 21.801, 21.970, 22.139, 22.308, 22.477, 22.646, 22.815, 22.984, 23.153, 23.322, 23.491, 23.660, 23.829, 23.998, 24.167, 24.336, 24.505, 24.674, 24.843, 25.012, 25.181, 25.350, 25.519, 25.688, 25.857, 26.026, 26.195, 26.364, 26.533, 26.702, 26.871, 27.040, 27.209, 27.378, 27.547, 27.716, 27.885, 28.054, 28.223, 28.392, 28.561, 28.730, 28.899, 29.068, 29.237, 29.406, 29.575, 29.744, 29.913, 30.082, 30.251, 30.420, 30.589, 30.758, 30.927, 31.096, 31.265, 31.434, 31.603, 31.772, 31.941, 32.110, 32.279, 32.448, 32.617, 32.786, 32.955, 33.124, 33.293, 33.462, 33.631, 33.800, 33.969, 34.138, 34.307, 34.476, 34.645, 34.814, 34.983, 35.152, 35.321, 35.490, 35.659, 35.828, 35.997, 36.166, 36.335, 36.504, 36.673, 36.842, 37.011, 37.180, 37.349, 37.518, 37.687, 37.856, 38.025, 38.194, 38.363, 38.532, 38.701, 38.870, 39.039, 39.208, 39.377, 39.546, 39.715, 39.884, 40.053, 40.222, 40.391, 40.560, 40.729, 40.898, 41.067, 41.236, 41.405, 41.574, 41.743, 41.912, 42.081, 42.250, 42.419, 42.588, 42.757, 42.926, 43.095, 43.264, 43.433, 43.602, 43.771, 43.940, 44.109, 44.278, 44.447, 44.616, 44.785, 44.954, 45.123, 45.292, 45.461, 45.630, 45.799, 45.968, 46.137, 46.306, 46.475, 46.644, 46.813, 46.982, 47.151, 47.320, 47.489, 47.658, 47.827, 47.996, 48.165, 48.334, 48.503, 48.672, 48.841, 49.010, 49.179, 49.348, 49.517, 49.686, 49.855, 50.024, 50.193, 50.362, 50.531, 50.700, 50.869, 51.038, 51.207, 51.376, 51.545, 51.714, 51.883, 52.052, 52.221, 52.390, 52.559, 52.728, 52.897, 53.066, 53.235, 53.404, 53.573, 53.742, 53.911, 54.080, 54.249, 54.418, 54.587, 54.756, 54.925, 55.094, 55.263, 55.432, 55.601, 55.770, 55.939, 56.108, 56.277, 56.446, 56.615, 56.784, 56.953, 57.122, 57.291, 57.460, 57.629, 57.798, 57.967, 58.136, 58.305, 58.474, 58.643, 58.812, 58.981, 59.150, 59.319, 59.488, 59.657, 59.826, 59.995, 60.164, 60.333, 60.502, 60.671, 60.840, 61.009, 61.178, 61.347, 61.516, 61.685, 61.854, 62.023, 62.192, 62.361, 62.530, 62.699, 62.868, 63.037, 63.206, 63.375, 63.544, 63.713, 63.882, 64.051, 64.220, 64.389, 64.558, 64.727, 64.896, 65.065, 65.234, 65.403, 65.572, 65.741, 65.910, 66.079, 66.248, 66.417, 66.586, 66.755, 66.924, 67.093, 67.262, 67.431, 67.600, 67.769, 67.938, 68.107, 68.276, 68.445, 68.614, 68.783, 68.952, 69.121, 69.290, 69.459, 69.628, 69.797, 69.966, 70.135, 70.304, 70.473, 70.642, 70.811, 70.980, 71.149, 71.318, 71.487, 71.656, 71.825, 71.994, 72.163, 72.332, 72.501, 72.670, 72.839, 73.008, 73.177, 73.346, 73.515, 73.684, 73.853, 74.022, 74.191, 74.360, 74.529, 74.698, 74.867, 75.036, 75.205, 75.374, 75.543, 75.712, 75.881, 76.050, 76.219, 76.388, 76.557, 76.726, 76.895, 77.064, 77.233, 77.402, 77.571, 77.740, 77.909, 78.078, 78.247, 78.416, 78.585, 78.754, 78.923, 79.092, 79.261, 79.430, 79.599, 79.768, 79.937, 80.106, 80.275, 80.444, 80.613, 80.782, 80.951, 81.120, 81.289, 81.458, 81.627, 81.796, 81.965, 82.134, 82.303, 82.472, 82.641, 82.810, 82.979, 83.148, 83.317, 83.486, 83.655, 83.824, 83.993, 84.162, 84.331, 84.500, 84.669, 84.838, 85.007, 85.176, 85.345, 85.514, 85.683, 85.852, 86.021, 86.190, 86.359, 86.528, 86.697, 86.866, 87.035, 87.204, 87.373, 87.542, 87.711, 87.880, 88.049, 88.218, 88.387, 88.556, 88.725, 88.894, 89.063, 89.232, 89.401, 89.570, 89.739, 89.908, 90.077, 90.246, 90.415, 90.584, 90.753, 90.922, 91.091, 91.260, 91.429, 91.598, 91.767, 91.936, 92.105, 92.274, 92.443, 92.612, 92.781, 92.950, 93.119, 93.288, 93.457, 93.626, 93.795, 93.964, 94.133, 94.302, 94.471, 94.640, 94.809, 94.978, 95.147, 95.316, 95.485, 95.654, 95.823, 95.992, 96.161, 96.330, 96.499, 96.668, 96.837, 97.006, 97.175, 97.344, 97.513, 97.682, 97.851, 98.020, 98.189, 98.358, 98.527, 98.696, 98.865, 99.034, 99.203, 99.372, 99.541, 99.710, 99.879, 100.048, 100.217, 100.386, 100.555, 100.724, 100.893, 101.062, 101.231, 101.400, 101.569, 101.738, 101.907, 102.076, 102.245, 102.414, 102.583, 102.752, 102.921, 103.090, 103.259, 103.428, 103.597, 103.766

Múltiplos de 612: 612, 1.224, 1.836, 2.448, 3.060, 3.672, 4.284, 4.896, 5.508, 6.120, 6.732, 7.344, 7.956, 8.568, 9.180, 9.792, 10.404, 11.016, 11.628, 12.240, 12.852, 13.464, 14.076, 14.688, 15.300, 15.912, 16.524, 17.136, 17.748, 18.360, 18.972, 19.584, 20.196, 20.808, 21.420, 22.032, 22.644, 23.256, 23.868, 24.480, 25.092, 25.704, 26.316, 26.928, 27.540, 28.152, 28.764, 29.376, 29.988, 30.600, 31.212, 31.824, 32.436, 33.048, 33.660, 34.272, 34.884, 35.496, 36.108, 36.720, 37.332, 37.944, 38.556, 39.168, 39.780, 40.392, 41.004, 41.616, 42.228, 42.840, 43.452, 44.064, 44.676, 45.288, 45.900, 46.512, 47.124, 47.736, 48.348, 48.960, 49.572, 50.184, 50.796, 51.408, 52.020, 52.632, 53.244, 53.856, 54.468, 55.080, 55.692, 56.304, 56.916, 57.528, 58.140, 58.752, 59.364, 59.976, 60.588, 61.200, 61.812, 62.424, 63.036, 63.648, 64.260, 64.872, 65.484, 66.096, 66.708, 67.320, 67.932, 68.544, 69.156, 69.768, 70.380, 70.992, 71.604, 72.216, 72.828, 73.440, 74.052, 74.664, 75.276, 75.888, 76.500, 77.112, 77.724, 78.336, 78.948, 79.560, 80.172, 80.784, 81.396, 82.008, 82.620, 83.232, 83.844, 84.456, 85.068, 85.680, 86.292, 86.904, 87.516, 88.128, 88.740, 89.352, 89.964, 90.576, 91.188, 91.800, 92.412, 93.024, 93.636, 94.248, 94.860, 95.472, 96.084, 96.696, 97.308, 97.920, 98.532, 99.144, 99.756, 100.368, 100.980, 101.592, 102.204, 102.816, 103.428, 104.040, 104.652

Portanto, o MMC de 169 e 612 é 103.428

Outro método para encontrar o MMC dos números 169 e 612 é listar todos os fatores primos de ambos os números e multiplicar as maiores potências: