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    LCM for 12, 15 and 60

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

    What's the Least Common Multiple (LCM) of 12, 15 and 60?

    Answer

    LCM of 12, 15 and 60 is
    60

    First common multiples: 60, 120, 180, …

    60 is divisible by all three: 60 ÷ 12 = 5, 60 ÷ 15 = 4, 60 ÷ 60 = 1 — and 5, 4 and 1 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/12 by 5 and of y/15 by 4.

    12 = 22 × 3

    15 = 3 × 5

    60 = 22 × 3 × 5

    Prime121560Highest power
    222—2222
    33333
    5—555

    — = 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 = 60

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--15--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--15--60">What is the LCM of 12, 15 and 60? - Calculatio</a>Copy
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    What is the LCM of 12, 15 and 60? The LCM of 12, 15 and 60 is 60 — 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/12--15--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    121545180
    1215461,380
    1215472,820
    121548240
    1215492,940
    121550300
    1215511,020
    121552780
    1215533,180
    121554540
    121555660
    121556840
    1215571,140
    1215581,740
    1215593,540
    12156060
    1215613,660
    1215621,860
    1215631,260
    121564960
    121565780
    121566660
    1215674,020
    1215681,020
    1215691,380
    121570420
    1215714,260
    121572360
    1215734,380
    1215742,220

    FAQ

    What's the Least Common Multiple (LCM) of 12, 15 and 60?

    LCM of 12, 15 and 60 is 60

    How to find the LCM of 12, 15 and 60 by prime factorization?

    Take every prime that appears in 12, 15 and 60 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5 = 60.

    Can you get the LCM of 12, 15 and 60 two numbers at a time?

    Yes. The LCM of 12 and 15 is 60, and the LCM of 60 and 60 is 60 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 60 divisible by 12, 15 and 60?

    Yes, and by definition it is the smallest positive integer that is: 60 ÷ 12, 60 ÷ 15 and 60 ÷ 60 all come out whole. Any other common multiple of 12, 15 and 60 is a multiple of 60.

    See Also