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    LCM for 20, 35 and 50

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

    What's the Least Common Multiple (LCM) of 20, 35 and 50?

    Answer

    LCM of 20, 35 and 50 is
    700

    First common multiples: 700; 1,400; 2,100; …

    700 is divisible by all three: 700 ÷ 20 = 35, 700 ÷ 35 = 20, 700 ÷ 50 = 14 — and 35, 20 and 14 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 35 and of y/35 by 20 and of z/50 by 14.

    20 = 22 × 5

    35 = 5 × 7

    50 = 2 × 52

    Prime203550Highest power
    222—222
    5555252
    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 × 52 × 7 = 700

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--35--50Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--35--50">What is the LCM of 20, 35 and 50? - Calculatio</a>Copy
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    What is the LCM of 20, 35 and 50? The LCM of 20, 35 and 50 is 700 — 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--35--50/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    203535140
    2035361,260
    2035375,180
    2035382,660
    2035395,460
    203540280
    2035415,740
    203542420
    2035436,020
    2035441,540
    2035451,260
    2035463,220
    2035476,580
    2035481,680
    203549980
    203550700
    2035517,140
    2035521,820
    2035537,420
    2035543,780
    2035551,540
    203556280
    2035577,980
    2035584,060
    2035598,260
    203560420
    2035618,540
    2035624,340
    2035631,260
    2035642,240

    FAQ

    What's the Least Common Multiple (LCM) of 20, 35 and 50?

    LCM of 20, 35 and 50 is 700

    How to find the LCM of 20, 35 and 50 by prime factorization?

    Take every prime that appears in 20, 35 and 50 to the highest power it reaches in any one of them and multiply: 2² × 5² × 7 = 700.

    Can you get the LCM of 20, 35 and 50 two numbers at a time?

    Yes. The LCM of 20 and 35 is 140, and the LCM of 140 and 50 is 700 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 700 divisible by 20, 35 and 50?

    Yes, and by definition it is the smallest positive integer that is: 700 ÷ 20, 700 ÷ 35 and 700 ÷ 50 all come out whole. Any other common multiple of 20, 35 and 50 is a multiple of 700.

    See Also