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    LCM for 12, 28 and 36

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

    What's the Least Common Multiple (LCM) of 12, 28 and 36?

    Answer

    LCM of 12, 28 and 36 is
    252

    First common multiples: 252, 504, 756, …

    252 is divisible by all three: 252 ÷ 12 = 21, 252 ÷ 28 = 9, 252 ÷ 36 = 7 — and 21, 9 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/12 by 21 and of y/28 by 9 and of z/36 by 7.

    12 = 22 × 3

    28 = 22 × 7

    36 = 22 × 32

    Prime122836Highest power
    222222222
    33—3232
    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 = 22 × 32 × 7 = 252

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--28--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--28--36">What is the LCM of 12, 28 and 36? - Calculatio</a>Copy
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    What is the LCM of 12, 28 and 36? The LCM of 12, 28 and 36 is 252 — 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/12--28--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    12212884
    122228924
    1223281,932
    122428168
    1225282,100
    1226281,092
    122728756
    12282884
    1228292,436
    122830420
    1228312,604
    122832672
    122833924
    1228341,428
    122835420
    122836252
    1228373,108
    1228381,596
    1228391,092
    122840840
    1228413,444
    12284284
    1228433,612
    122844924
    1228451,260
    1228461,932
    1228473,948
    122848336
    122849588
    1228502,100

    FAQ

    What's the Least Common Multiple (LCM) of 12, 28 and 36?

    LCM of 12, 28 and 36 is 252

    How to find the LCM of 12, 28 and 36 by prime factorization?

    Take every prime that appears in 12, 28 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 7 = 252.

    Can you get the LCM of 12, 28 and 36 two numbers at a time?

    Yes. The LCM of 12 and 28 is 84, and the LCM of 84 and 36 is 252 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 252 divisible by 12, 28 and 36?

    Yes, and by definition it is the smallest positive integer that is: 252 ÷ 12, 252 ÷ 28 and 252 ÷ 36 all come out whole. Any other common multiple of 12, 28 and 36 is a multiple of 252.

    See Also