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    LCM for 35, 60 and 100

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

    What's the Least Common Multiple (LCM) of 35, 60 and 100?

    Answer

    LCM of 35, 60 and 100 is
    2,100

    First common multiples: 2,100; 4,200; 6,300; …

    2,100 is divisible by all three: 2,100 ÷ 35 = 60; 2,100 ÷ 60 = 35; 2,100 ÷ 100 = 21 — and 60, 35 and 21 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/35 by 60 and of y/60 by 35 and of z/100 by 21.

    35 = 5 × 7

    60 = 22 × 3 × 5

    100 = 22 × 52

    Prime3560100Highest power
    2—222222
    3—3—3
    5555252
    77——7

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

    LCM = 22 × 3 × 52 × 7 = 2,100

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/35--60--100Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/35--60--100">What is the LCM of 35, 60 and 100? - Calculatio</a>Copy
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    What is the LCM of 35, 60 and 100? The LCM of 35, 60 and 100 is 2,100 — 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/35--60--100/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    3560857,140
    35608618,060
    35608712,180
    3560889,240
    35608937,380
    3560901,260
    3560915,460
    3560929,660
    35609313,020
    35609419,740
    3560957,980
    3560963,360
    35609740,740
    3560982,940
    35609913,860
    35601002,100
    356010142,420
    35601027,140
    356010343,260
    356010410,920
    3560105420
    356010622,260
    356010744,940
    35601083,780
    356010945,780
    35601104,620
    356011115,540
    35601121,680
    356011347,460
    35601147,980

    FAQ

    What's the Least Common Multiple (LCM) of 35, 60 and 100?

    LCM of 35, 60 and 100 is 2,100

    How to find the LCM of 35, 60 and 100 by prime factorization?

    Take every prime that appears in 35, 60 and 100 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5² × 7 = 2,100.

    Can you get the LCM of 35, 60 and 100 two numbers at a time?

    Yes. The LCM of 35 and 60 is 420, and the LCM of 420 and 100 is 2,100 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 2,100 divisible by 35, 60 and 100?

    Yes, and by definition it is the smallest positive integer that is: 2,100 ÷ 35, 2,100 ÷ 60 and 2,100 ÷ 100 all come out whole. Any other common multiple of 35, 60 and 100 is a multiple of 2,100.

    See Also