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    LCM for 15, 40 and 60

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

    What's the Least Common Multiple (LCM) of 15, 40 and 60?

    Answer

    LCM of 15, 40 and 60 is
    120

    First common multiples: 120, 240, 360, …

    120 is divisible by all three: 120 ÷ 15 = 8, 120 ÷ 40 = 3, 120 ÷ 60 = 2 — and 8, 3 and 2 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/15 by 8 and of y/40 by 3 and of z/60 by 2.

    15 = 3 × 5

    40 = 23 × 5

    60 = 22 × 3 × 5

    Prime154060Highest power
    2—232223
    33—33
    55555

    — = 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/15--40--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--40--60">What is the LCM of 15, 40 and 60? - Calculatio</a>Copy
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    What is the LCM of 15, 40 and 60? The LCM of 15, 40 and 60 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/15--40--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    154045360
    1540462,760
    1540475,640
    154048240
    1540495,880
    154050600
    1540512,040
    1540521,560
    1540536,360
    1540541,080
    1540551,320
    154056840
    1540572,280
    1540583,480
    1540597,080
    154060120
    1540617,320
    1540623,720
    1540632,520
    154064960
    1540651,560
    1540661,320
    1540678,040
    1540682,040
    1540692,760
    154070840
    1540718,520
    154072360
    1540738,760
    1540744,440

    FAQ

    What's the Least Common Multiple (LCM) of 15, 40 and 60?

    LCM of 15, 40 and 60 is 120

    How to find the LCM of 15, 40 and 60 by prime factorization?

    Take every prime that appears in 15, 40 and 60 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 = 120.

    Can you get the LCM of 15, 40 and 60 two numbers at a time?

    Yes. The LCM of 15 and 40 is 120, and the LCM of 120 and 60 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 15, 40 and 60?

    Yes, and by definition it is the smallest positive integer that is: 120 ÷ 15, 120 ÷ 40 and 120 ÷ 60 all come out whole. Any other common multiple of 15, 40 and 60 is a multiple of 120.

    See Also