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    LCM for 20, 28 and 36

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

    What's the Least Common Multiple (LCM) of 20, 28 and 36?

    Answer

    LCM of 20, 28 and 36 is
    1,260

    First common multiples: 1,260; 2,520; 3,780; …

    1,260 is divisible by all three: 1,260 ÷ 20 = 63; 1,260 ÷ 28 = 45; 1,260 ÷ 36 = 35 — and 63, 45 and 35 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/20 by 63 and of y/28 by 45 and of z/36 by 35.

    20 = 22 × 5

    28 = 22 × 7

    36 = 22 × 32

    Prime202836Highest power
    222222222
    3——3232
    55——5
    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 × 5 × 7 = 1,260

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--28--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--28--36">What is the LCM of 20, 28 and 36? - Calculatio</a>Copy
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    What is the LCM of 20, 28 and 36? The LCM of 20, 28 and 36 is 1,260 — 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/20--28--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    202128420
    2022281,540
    2023283,220
    202428840
    202528700
    2026281,820
    2027283,780
    202828140
    2028294,060
    202830420
    2028314,340
    2028321,120
    2028334,620
    2028342,380
    202835140
    2028361,260
    2028375,180
    2028382,660
    2028395,460
    202840280
    2028415,740
    202842420
    2028436,020
    2028441,540
    2028451,260
    2028463,220
    2028476,580
    2028481,680
    202849980
    202850700

    FAQ

    What's the Least Common Multiple (LCM) of 20, 28 and 36?

    LCM of 20, 28 and 36 is 1,260

    How to find the LCM of 20, 28 and 36 by prime factorization?

    Take every prime that appears in 20, 28 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 × 7 = 1,260.

    Can you get the LCM of 20, 28 and 36 two numbers at a time?

    Yes. The LCM of 20 and 28 is 140, and the LCM of 140 and 36 is 1,260 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,260 divisible by 20, 28 and 36?

    Yes, and by definition it is the smallest positive integer that is: 1,260 ÷ 20, 1,260 ÷ 28 and 1,260 ÷ 36 all come out whole. Any other common multiple of 20, 28 and 36 is a multiple of 1,260.

    See Also