LCM for 7 and 100
What's the Least Common Multiple (LCM) of 7 and 100?
Answer
(Seven hundred)
Finding LCM for 7 and 100 using GCF of these numbers
The first method to find LCM for numbers 7 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 100 is 1, so
LCM = (7 × 100) ÷ 1
LCM = 700 ÷ 1
LCM = 700
Finding LCM for 7 and 100 by Listing Multiples
The second method to find LCM for numbers 7 and 100 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900
So the LCM for 7 and 100 is 700
Finding LCM for 7 and 100 by Prime Factorization
Another method to find LCM for numbers 7 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
71 × 22 × 52 = 700
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/7--100">What is the LCM of 7 and 100? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers