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    LCM for 24, 28 and 42

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

    What's the Least Common Multiple (LCM) of 24, 28 and 42?

    Answer

    LCM of 24, 28 and 42 is
    168

    First common multiples: 168, 336, 504, …

    168 is divisible by all three: 168 ÷ 24 = 7, 168 ÷ 28 = 6, 168 ÷ 42 = 4 — and 7, 6 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/24 by 7 and of y/28 by 6 and of z/42 by 4.

    24 = 23 × 3

    28 = 22 × 7

    42 = 2 × 3 × 7

    Prime242842Highest power
    22322223
    33—33
    7—777

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

    LCM = 23 × 3 × 7 = 168

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--28--42Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--28--42">What is the LCM of 24, 28 and 42? - Calculatio</a>Copy
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    What is the LCM of 24, 28 and 42? The LCM of 24, 28 and 42 is 168 — 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/24--28--42/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2427281,512
    242828168
    2428294,872
    242830840
    2428315,208
    242832672
    2428331,848
    2428342,856
    242835840
    242836504
    2428376,216
    2428383,192
    2428392,184
    242840840
    2428416,888
    242842168
    2428437,224
    2428441,848
    2428452,520
    2428463,864
    2428477,896
    242848336
    2428491,176
    2428504,200
    2428512,856
    2428522,184
    2428538,904
    2428541,512
    2428559,240
    242856168

    FAQ

    What's the Least Common Multiple (LCM) of 24, 28 and 42?

    LCM of 24, 28 and 42 is 168

    How to find the LCM of 24, 28 and 42 by prime factorization?

    Take every prime that appears in 24, 28 and 42 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 7 = 168.

    Can you get the LCM of 24, 28 and 42 two numbers at a time?

    Yes. The LCM of 24 and 28 is 168, and the LCM of 168 and 42 is 168 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 168 divisible by 24, 28 and 42?

    Yes, and by definition it is the smallest positive integer that is: 168 ÷ 24, 168 ÷ 28 and 168 ÷ 42 all come out whole. Any other common multiple of 24, 28 and 42 is a multiple of 168.

    See Also