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    LCM for 8, 56 and 64

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

    What's the Least Common Multiple (LCM) of 8, 56 and 64?

    Answer

    LCM of 8, 56 and 64 is
    448

    First common multiples: 448; 896; 1,344; …

    448 is divisible by all three: 448 ÷ 8 = 56, 448 ÷ 56 = 8, 448 ÷ 64 = 7 — and 56, 8 and 7 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 56 and of y/56 by 8 and of z/64 by 7.

    8 = 23

    56 = 23 × 7

    64 = 26

    Prime85664Highest power
    223232626
    7—7—7

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

    LCM = 26 × 7 = 448

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--56--64Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--56--64">What is the LCM of 8, 56 and 64? - Calculatio</a>Copy
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    What is the LCM of 8, 56 and 64? The LCM of 8, 56 and 64 is 448 — 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--56--64/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    84956392
    850561,400
    851562,856
    85256728
    853562,968
    854561,512
    855563,080
    8565656
    856573,192
    856581,624
    856593,304
    85660840
    856613,416
    856621,736
    85663504
    85664448
    856653,640
    856661,848
    856673,752
    85668952
    856693,864
    85670280
    856713,976
    85672504
    856734,088
    856742,072
    856754,200
    856761,064
    85677616
    856782,184

    FAQ

    What's the Least Common Multiple (LCM) of 8, 56 and 64?

    LCM of 8, 56 and 64 is 448

    How to find the LCM of 8, 56 and 64 by prime factorization?

    Take every prime that appears in 8, 56 and 64 to the highest power it reaches in any one of them and multiply: 2⁶ × 7 = 448.

    Can you get the LCM of 8, 56 and 64 two numbers at a time?

    Yes. The LCM of 8 and 56 is 56, and the LCM of 56 and 64 is 448 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 448 divisible by 8, 56 and 64?

    Yes, and by definition it is the smallest positive integer that is: 448 ÷ 8, 448 ÷ 56 and 448 ÷ 64 all come out whole. Any other common multiple of 8, 56 and 64 is a multiple of 448.

    See Also