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    LCM for 28, 42 and 105

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 28, 42 and 105?

    Answer

    LCM of 28, 42 and 105 is
    420

    First common multiples: 420; 840; 1,260; …

    420 is divisible by all three: 420 ÷ 28 = 15, 420 ÷ 42 = 10, 420 ÷ 105 = 4 — and 15, 10 and 4 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 15 and of y/42 by 10 and of z/105 by 4.

    28 = 22 × 7

    42 = 2 × 3 × 7

    105 = 3 × 5 × 7

    Prime2842105Highest power
    2222—22
    3—333
    5——55
    77777

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 22 × 3 × 5 × 7 = 420

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/28--42--105Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/28--42--105">What is the LCM of 28, 42 and 105? - Calculatio</a>Copy
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    What is the LCM of 28, 42 and 105? The LCM of 28, 42 and 105 is 420 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/28--42--105/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2842901,260
    2842911,092
    2842921,932
    2842932,604
    2842943,948
    2842957,980
    284296672
    2842978,148
    284298588
    2842992,772
    28421002,100
    28421018,484
    28421021,428
    28421038,652
    28421042,184
    2842105420
    28421064,452
    28421078,988
    2842108756
    28421099,156
    28421104,620
    28421113,108
    2842112336
    28421139,492
    28421141,596
    28421159,660
    28421162,436
    28421173,276
    28421184,956
    28421191,428

    FAQ

    What's the Least Common Multiple (LCM) of 28, 42 and 105?

    LCM of 28, 42 and 105 is 420

    How to find the LCM of 28, 42 and 105 by prime factorization?

    Take every prime that appears in 28, 42 and 105 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5 × 7 = 420.

    Can you get the LCM of 28, 42 and 105 two numbers at a time?

    Yes. The LCM of 28 and 42 is 84, and the LCM of 84 and 105 is 420 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 420 divisible by 28, 42 and 105?

    Yes, and by definition it is the smallest positive integer that is: 420 ÷ 28, 420 ÷ 42 and 420 ÷ 105 all come out whole. Any other common multiple of 28, 42 and 105 is a multiple of 420.

    See Also