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    LCM for 20, 50 and 75

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

    What's the Least Common Multiple (LCM) of 20, 50 and 75?

    Answer

    LCM of 20, 50 and 75 is
    300

    First common multiples: 300, 600, 900, …

    300 is divisible by all three: 300 ÷ 20 = 15, 300 ÷ 50 = 6, 300 ÷ 75 = 4 — and 15, 6 and 4 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/75 by 4.

    20 = 22 × 5

    50 = 2 × 52

    75 = 3 × 52

    Prime205075Highest power
    2222—22
    3——33
    55525252

    — = 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--75Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--50--75">What is the LCM of 20, 50 and 75? - Calculatio</a>Copy
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    What is the LCM of 20, 50 and 75? The LCM of 20, 50 and 75 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--75/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    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
    205075300
    2050761,900
    2050777,700
    2050783,900
    2050797,900
    205080400
    2050818,100
    2050824,100
    2050838,300
    2050842,100
    2050851,700
    2050864,300
    2050878,700
    2050882,200
    2050898,900

    FAQ

    What's the Least Common Multiple (LCM) of 20, 50 and 75?

    LCM of 20, 50 and 75 is 300

    How to find the LCM of 20, 50 and 75 by prime factorization?

    Take every prime that appears in 20, 50 and 75 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 75 two numbers at a time?

    Yes. The LCM of 20 and 50 is 100, and the LCM of 100 and 75 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 75?

    Yes, and by definition it is the smallest positive integer that is: 300 ÷ 20, 300 ÷ 50 and 300 ÷ 75 all come out whole. Any other common multiple of 20, 50 and 75 is a multiple of 300.

    See Also