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    LCM for 10, 11 and 12

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

    What's the Least Common Multiple (LCM) of 10, 11 and 12?

    Answer

    LCM of 10, 11 and 12 is
    660

    First common multiples: 660; 1,320; 1,980; …

    660 is divisible by all three: 660 ÷ 10 = 66, 660 ÷ 11 = 60, 660 ÷ 12 = 55 — and 66, 60 and 55 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/10 by 66 and of y/11 by 60 and of z/12 by 55.

    10 = 2 × 5

    11 — prime

    12 = 22 × 3

    Prime101112Highest power
    22—2222
    3——33
    55——5
    11—11—11

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

    LCM = 22 × 3 × 5 × 11 = 660

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--11--12Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--11--12">What is the LCM of 10, 11 and 12? - Calculatio</a>Copy
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    What is the LCM of 10, 11 and 12? The LCM of 10, 11 and 12 is 660 — 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/10--11--12/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    11011110
    21011110
    31011330
    41011220
    51011110
    61011330
    71011770
    81011440
    91011990
    101011110
    101111110
    101112660
    1011131,430
    101114770
    101115330
    101116880
    1011171,870
    101118990
    1011192,090
    101120220
    1011212,310
    101122110
    1011232,530
    1011241,320
    101125550
    1011261,430
    1011272,970
    1011281,540
    1011293,190
    101130330

    FAQ

    What's the Least Common Multiple (LCM) of 10, 11 and 12?

    LCM of 10, 11 and 12 is 660

    How to find the LCM of 10, 11 and 12 by prime factorization?

    Take every prime that appears in 10, 11 and 12 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5 × 11 = 660.

    Can you get the LCM of 10, 11 and 12 two numbers at a time?

    Yes. The LCM of 10 and 11 is 110, and the LCM of 110 and 12 is 660 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 660 divisible by 10, 11 and 12?

    Yes, and by definition it is the smallest positive integer that is: 660 ÷ 10, 660 ÷ 11 and 660 ÷ 12 all come out whole. Any other common multiple of 10, 11 and 12 is a multiple of 660.

    See Also