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    LCM for 48 and 450

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 48 and 450?

    Answer

    LCM of 48 and 450 is
    3,600

    (Three thousand six hundred)

    Finding LCM for 48 and 450 using GCF of these numbers

    The first method to find LCM for numbers 48 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 48 and 450 is 6, so

    LCM = (48 × 450) ÷ 6

    LCM = 21,600 ÷ 6

    LCM = 3,600

    Finding LCM for 48 and 450 by Listing Multiples

    The second method to find LCM for numbers 48 and 450 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352, 2400, 2448, 2496, 2544, 2592, 2640, 2688, 2736, 2784, 2832, 2880, 2928, 2976, 3024, 3072, 3120, 3168, 3216, 3264, 3312, 3360, 3408, 3456, 3504, 3552, 3600, 3648, 3696

    Multiples of 450: 450, 900, 1350, 1800, 2250, 2700, 3150, 3600, 4050, 4500

    So the LCM for 48 and 450 is 3,600

    Finding LCM for 48 and 450 by Prime Factorization

    Another method to find LCM for numbers 48 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

    All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)

    24 × 32 × 52 = 3,600

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    What is the LCM of 48 and 450?. The LCM of 48 and 450 is 3,600 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    481248
    483296
    4836144
    48501,200
    4852624
    4854432
    4856336
    4857912
    48581,392
    4860240
    4866528
    4872144
    48751,200
    4880240
    48811,296
    4884336
    4890720
    489696
    48991,584
    481001,200
    48120240
    48128384
    48168336
    484503,600

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 450? (The answer is: 3,600). Select the first number (e.g. '48') and the second number (e.g. '450'). After that hit the 'Calculate' button.
    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
    Recalculate with different values ↑

    FAQ

    What's the Least Common Multiple (LCM) of 48 and 450?

    LCM of 48 and 450 is 3,600

    How to find the LCM of 48 and 450 using prime factorization?

    To find the LCM of 48 and 450, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,600.

    What is the difference between LCM and GCF?

    LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 450: LCM = 3,600, GCF = 6.

    See Also