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    LCM for 20, 24 and 25

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

    What's the Least Common Multiple (LCM) of 20, 24 and 25?

    Answer

    LCM of 20, 24 and 25 is
    600

    First common multiples: 600; 1,200; 1,800; …

    600 is divisible by all three: 600 ÷ 20 = 30, 600 ÷ 24 = 25, 600 ÷ 25 = 24 — and 30, 25 and 24 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 30 and of y/24 by 25 and of z/25 by 24.

    20 = 22 × 5

    24 = 23 × 3

    25 = 52

    Prime202425Highest power
    22223—23
    3—3—3
    55—5252

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

    LCM = 23 × 3 × 52 = 600

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--24--25Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--24--25">What is the LCM of 20, 24 and 25? - Calculatio</a>Copy
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    What is the LCM of 20, 24 and 25? The LCM of 20, 24 and 25 is 600 — 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--24--25/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    102024120
    1120241,320
    122024120
    1320241,560
    142024840
    152024120
    162024240
    1720242,040
    182024360
    1920242,280
    202024120
    202124840
    2022241,320
    2023242,760
    202424120
    202425600
    2024261,560
    2024271,080
    202428840
    2024293,480
    202430120
    2024313,720
    202432480
    2024331,320
    2024342,040
    202435840
    202436360
    2024374,440
    2024382,280
    2024391,560

    FAQ

    What's the Least Common Multiple (LCM) of 20, 24 and 25?

    LCM of 20, 24 and 25 is 600

    How to find the LCM of 20, 24 and 25 by prime factorization?

    Take every prime that appears in 20, 24 and 25 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5² = 600.

    Can you get the LCM of 20, 24 and 25 two numbers at a time?

    Yes. The LCM of 20 and 24 is 120, and the LCM of 120 and 25 is 600 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 600 divisible by 20, 24 and 25?

    Yes, and by definition it is the smallest positive integer that is: 600 ÷ 20, 600 ÷ 24 and 600 ÷ 25 all come out whole. Any other common multiple of 20, 24 and 25 is a multiple of 600.

    See Also