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    LCM for 20, 25 and 30

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

    What's the Least Common Multiple (LCM) of 20, 25 and 30?

    Answer

    LCM of 20, 25 and 30 is
    300

    First common multiples: 300, 600, 900, …

    300 is divisible by all three: 300 ÷ 20 = 15, 300 ÷ 25 = 12, 300 ÷ 30 = 10 — and 15, 12 and 10 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/25 by 12 and of z/30 by 10.

    20 = 22 × 5

    25 = 52

    30 = 2 × 3 × 5

    Prime202530Highest power
    222—222
    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--25--30Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--25--30">What is the LCM of 20, 25 and 30? - Calculatio</a>Copy
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    What is the LCM of 20, 25 and 30? The LCM of 20, 25 and 30 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--25--30/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    152025300
    162025400
    1720251,700
    182025900
    1920251,900
    202025100
    2021252,100
    2022251,100
    2023252,300
    202425600
    202525100
    2025261,300
    2025272,700
    202528700
    2025292,900
    202530300
    2025313,100
    202532800
    2025333,300
    2025341,700
    202535700
    202536900
    2025373,700
    2025381,900
    2025393,900
    202540200
    2025414,100
    2025422,100
    2025434,300
    2025441,100

    FAQ

    What's the Least Common Multiple (LCM) of 20, 25 and 30?

    LCM of 20, 25 and 30 is 300

    How to find the LCM of 20, 25 and 30 by prime factorization?

    Take every prime that appears in 20, 25 and 30 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5² = 300.

    Can you get the LCM of 20, 25 and 30 two numbers at a time?

    Yes. The LCM of 20 and 25 is 100, and the LCM of 100 and 30 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, 25 and 30?

    Yes, and by definition it is the smallest positive integer that is: 300 ÷ 20, 300 ÷ 25 and 300 ÷ 30 all come out whole. Any other common multiple of 20, 25 and 30 is a multiple of 300.

    See Also