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    LCM for 66, 99 and 132

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

    What's the Least Common Multiple (LCM) of 66, 99 and 132?

    Answer

    LCM of 66, 99 and 132 is
    396

    First common multiples: 396; 792; 1,188; …

    396 is divisible by all three: 396 ÷ 66 = 6, 396 ÷ 99 = 4, 396 ÷ 132 = 3 — and 6, 4 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/66 by 6 and of y/99 by 4 and of z/132 by 3.

    66 = 2 × 3 × 11

    99 = 32 × 11

    132 = 22 × 3 × 11

    Prime6699132Highest power
    22—2222
    3332332
    1111111111

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

    LCM = 22 × 32 × 11 = 396

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/66--99--132Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/66--99--132">What is the LCM of 66, 99 and 132? - Calculatio</a>Copy
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    What is the LCM of 66, 99 and 132? The LCM of 66, 99 and 132 is 396 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    1st2nd3rdLCM
    66991172,574
    669911811,682
    669911923,562
    66991203,960
    66991212,178
    669912212,078
    66991238,118
    669912412,276
    669912524,750
    66991261,386
    669912725,146
    669912812,672
    66991298,514
    669913012,870
    669913125,938
    6699132396
    669913326,334
    669913413,266
    66991352,970
    669913613,464
    669913727,126
    66991384,554
    669913927,522
    669914013,860
    66991419,306
    669914214,058
    66991432,574
    66991441,584
    669914528,710
    669914614,454

    FAQ

    What's the Least Common Multiple (LCM) of 66, 99 and 132?

    LCM of 66, 99 and 132 is 396

    How to find the LCM of 66, 99 and 132 by prime factorization?

    Take every prime that appears in 66, 99 and 132 to the highest power it reaches in any one of them and multiply: 2² × 3² × 11 = 396.

    Can you get the LCM of 66, 99 and 132 two numbers at a time?

    Yes. The LCM of 66 and 99 is 198, and the LCM of 198 and 132 is 396 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 396 divisible by 66, 99 and 132?

    Yes, and by definition it is the smallest positive integer that is: 396 ÷ 66, 396 ÷ 99 and 396 ÷ 132 all come out whole. Any other common multiple of 66, 99 and 132 is a multiple of 396.

    See Also