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    LCM for 12, 15 and 40

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

    What's the Least Common Multiple (LCM) of 12, 15 and 40?

    Answer

    LCM of 12, 15 and 40 is
    120

    First common multiples: 120, 240, 360, …

    120 is divisible by all three: 120 ÷ 12 = 10, 120 ÷ 15 = 8, 120 ÷ 40 = 3 — and 10, 8 and 3 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 10 and of y/15 by 8 and of z/40 by 3.

    12 = 22 × 3

    15 = 3 × 5

    40 = 23 × 5

    Prime121540Highest power
    222—2323
    333—3
    5—555

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

    LCM = 23 × 3 × 5 = 120

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--15--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--15--40">What is the LCM of 12, 15 and 40? - Calculatio</a>Copy
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    What is the LCM of 12, 15 and 40? The LCM of 12, 15 and 40 is 120 — 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--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    121525300
    121526780
    121527540
    121528420
    1215291,740
    12153060
    1215311,860
    121532480
    121533660
    1215341,020
    121535420
    121536180
    1215372,220
    1215381,140
    121539780
    121540120
    1215412,460
    121542420
    1215432,580
    121544660
    121545180
    1215461,380
    1215472,820
    121548240
    1215492,940
    121550300
    1215511,020
    121552780
    1215533,180
    121554540

    FAQ

    What's the Least Common Multiple (LCM) of 12, 15 and 40?

    LCM of 12, 15 and 40 is 120

    How to find the LCM of 12, 15 and 40 by prime factorization?

    Take every prime that appears in 12, 15 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 = 120.

    Can you get the LCM of 12, 15 and 40 two numbers at a time?

    Yes. The LCM of 12 and 15 is 60, and the LCM of 60 and 40 is 120 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 120 divisible by 12, 15 and 40?

    Yes, and by definition it is the smallest positive integer that is: 120 ÷ 12, 120 ÷ 15 and 120 ÷ 40 all come out whole. Any other common multiple of 12, 15 and 40 is a multiple of 120.

    See Also