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    LCM for 108, 120 and 132

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

    What's the Least Common Multiple (LCM) of 108, 120 and 132?

    Answer

    LCM of 108, 120 and 132 is
    11,880

    First common multiples: 11,880; 23,760; 35,640; …

    11,880 is divisible by all three: 11,880 ÷ 108 = 110; 11,880 ÷ 120 = 99; 11,880 ÷ 132 = 90 — and 110, 99 and 90 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/108 by 110 and of y/120 by 99 and of z/132 by 90.

    108 = 22 × 33

    120 = 23 × 3 × 5

    132 = 22 × 3 × 11

    Prime108120132Highest power
    222232223
    3333333
    5—5—5
    11——1111

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

    LCM = 23 × 33 × 5 × 11 = 11,880

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/108--120--132Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/108--120--132">What is the LCM of 108, 120 and 132? - Calculatio</a>Copy
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    What is the LCM of 108, 120 and 132? The LCM of 108, 120 and 132 is 11,880 — 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/108--120--132/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    10811712014,040
    10811812063,720
    108119120128,520
    1081201201,080
    108120121130,680
    10812012265,880
    10812012344,280
    10812012433,480
    10812012527,000
    1081201267,560
    108120127137,160
    10812012817,280
    10812012946,440
    10812013014,040
    108120131141,480
    10812013211,880
    108120133143,640
    10812013472,360
    1081201351,080
    10812013618,360
    108120137147,960
    10812013824,840
    108120139150,120
    1081201407,560
    10812014150,760
    10812014276,680
    108120143154,440
    1081201442,160
    10812014531,320
    10812014678,840

    FAQ

    What's the Least Common Multiple (LCM) of 108, 120 and 132?

    LCM of 108, 120 and 132 is 11,880

    How to find the LCM of 108, 120 and 132 by prime factorization?

    Take every prime that appears in 108, 120 and 132 to the highest power it reaches in any one of them and multiply: 2³ × 3³ × 5 × 11 = 11,880.

    Can you get the LCM of 108, 120 and 132 two numbers at a time?

    Yes. The LCM of 108 and 120 is 1,080, and the LCM of 1,080 and 132 is 11,880 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 11,880 divisible by 108, 120 and 132?

    Yes, and by definition it is the smallest positive integer that is: 11,880 ÷ 108, 11,880 ÷ 120 and 11,880 ÷ 132 all come out whole. Any other common multiple of 108, 120 and 132 is a multiple of 11,880.

    See Also