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    LCM for 10, 12 and 36

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

    What's the Least Common Multiple (LCM) of 10, 12 and 36?

    Answer

    LCM of 10, 12 and 36 is
    180

    First common multiples: 180, 360, 540, …

    180 is divisible by all three: 180 ÷ 10 = 18, 180 ÷ 12 = 15, 180 ÷ 36 = 5 — and 18, 15 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/10 by 18 and of y/12 by 15 and of z/36 by 5.

    10 = 2 × 5

    12 = 22 × 3

    36 = 22 × 32

    Prime101236Highest power
    22222222
    3—33232
    55——5

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

    LCM = 22 × 32 × 5 = 180

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--12--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--12--36">What is the LCM of 10, 12 and 36? - Calculatio</a>Copy
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    What is the LCM of 10, 12 and 36? The LCM of 10, 12 and 36 is 180 — 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--12--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    101221420
    101222660
    1012231,380
    101224120
    101225300
    101226780
    101227540
    101228420
    1012291,740
    10123060
    1012311,860
    101232480
    101233660
    1012341,020
    101235420
    101236180
    1012372,220
    1012381,140
    101239780
    101240120
    1012412,460
    101242420
    1012432,580
    101244660
    101245180
    1012461,380
    1012472,820
    101248240
    1012492,940
    101250300

    FAQ

    What's the Least Common Multiple (LCM) of 10, 12 and 36?

    LCM of 10, 12 and 36 is 180

    How to find the LCM of 10, 12 and 36 by prime factorization?

    Take every prime that appears in 10, 12 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

    Can you get the LCM of 10, 12 and 36 two numbers at a time?

    Yes. The LCM of 10 and 12 is 60, and the LCM of 60 and 36 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 180 divisible by 10, 12 and 36?

    Yes, and by definition it is the smallest positive integer that is: 180 ÷ 10, 180 ÷ 12 and 180 ÷ 36 all come out whole. Any other common multiple of 10, 12 and 36 is a multiple of 180.

    See Also