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    LCM for 8, 40 and 64

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

    What's the Least Common Multiple (LCM) of 8, 40 and 64?

    Answer

    LCM of 8, 40 and 64 is
    320

    First common multiples: 320, 640, 960, …

    320 is divisible by all three: 320 ÷ 8 = 40, 320 ÷ 40 = 8, 320 ÷ 64 = 5 — and 40, 8 and 5 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/8 by 40 and of y/40 by 8 and of z/64 by 5.

    8 = 23

    40 = 23 × 5

    64 = 26

    Prime84064Highest power
    223232626
    5—5—5

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

    LCM = 26 × 5 = 320

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--40--64Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--40--64">What is the LCM of 8, 40 and 64? - Calculatio</a>Copy
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    What is the LCM of 8, 40 and 64? The LCM of 8, 40 and 64 is 320 — 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/8--40--64/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    840491,960
    84050200
    840512,040
    84052520
    840532,120
    840541,080
    84055440
    84056280
    840572,280
    840581,160
    840592,360
    84060120
    840612,440
    840621,240
    840632,520
    84064320
    84065520
    840661,320
    840672,680
    84068680
    840692,760
    84070280
    840712,840
    84072360
    840732,920
    840741,480
    84075600
    84076760
    840773,080
    840781,560

    FAQ

    What's the Least Common Multiple (LCM) of 8, 40 and 64?

    LCM of 8, 40 and 64 is 320

    How to find the LCM of 8, 40 and 64 by prime factorization?

    Take every prime that appears in 8, 40 and 64 to the highest power it reaches in any one of them and multiply: 2⁶ × 5 = 320.

    Can you get the LCM of 8, 40 and 64 two numbers at a time?

    Yes. The LCM of 8 and 40 is 40, and the LCM of 40 and 64 is 320 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 320 divisible by 8, 40 and 64?

    Yes, and by definition it is the smallest positive integer that is: 320 ÷ 8, 320 ÷ 40 and 320 ÷ 64 all come out whole. Any other common multiple of 8, 40 and 64 is a multiple of 320.

    See Also