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    LCM for 20, 50 and 60

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

    What's the Least Common Multiple (LCM) of 20, 50 and 60?

    Answer

    LCM of 20, 50 and 60 is
    300

    First common multiples: 300, 600, 900, …

    300 is divisible by all three: 300 ÷ 20 = 15, 300 ÷ 50 = 6, 300 ÷ 60 = 5 — and 15, 6 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/20 by 15 and of y/50 by 6 and of z/60 by 5.

    20 = 22 × 5

    50 = 2 × 52

    60 = 22 × 3 × 5

    Prime205060Highest power
    22222222
    3——33
    5552552

    — = 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 = 300

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--50--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--50--60">What is the LCM of 20, 50 and 60? - Calculatio</a>Copy
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    What is the LCM of 20, 50 and 60? The LCM of 20, 50 and 60 is 300 — 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--50--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    204550900
    2046502,300
    2047504,700
    2048501,200
    2049504,900
    205050100
    2050515,100
    2050521,300
    2050535,300
    2050542,700
    2050551,100
    2050561,400
    2050575,700
    2050582,900
    2050595,900
    205060300
    2050616,100
    2050623,100
    2050636,300
    2050641,600
    2050651,300
    2050663,300
    2050676,700
    2050681,700
    2050696,900
    205070700
    2050717,100
    2050721,800
    2050737,300
    2050743,700

    FAQ

    What's the Least Common Multiple (LCM) of 20, 50 and 60?

    LCM of 20, 50 and 60 is 300

    How to find the LCM of 20, 50 and 60 by prime factorization?

    Take every prime that appears in 20, 50 and 60 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5² = 300.

    Can you get the LCM of 20, 50 and 60 two numbers at a time?

    Yes. The LCM of 20 and 50 is 100, and the LCM of 100 and 60 is 300 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 300 divisible by 20, 50 and 60?

    Yes, and by definition it is the smallest positive integer that is: 300 ÷ 20, 300 ÷ 50 and 300 ÷ 60 all come out whole. Any other common multiple of 20, 50 and 60 is a multiple of 300.

    See Also