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    LCM for 25, 40 and 60

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

    What's the Least Common Multiple (LCM) of 25, 40 and 60?

    Answer

    LCM of 25, 40 and 60 is
    600

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

    600 is divisible by all three: 600 ÷ 25 = 24, 600 ÷ 40 = 15, 600 ÷ 60 = 10 — and 24, 15 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/25 by 24 and of y/40 by 15 and of z/60 by 10.

    25 = 52

    40 = 23 × 5

    60 = 22 × 3 × 5

    Prime254060Highest power
    2—232223
    3——33
    5525552

    — = 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/25--40--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--40--60">What is the LCM of 25, 40 and 60? - Calculatio</a>Copy
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    What is the LCM of 25, 40 and 60? The LCM of 25, 40 and 60 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/25--40--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2540451,800
    2540464,600
    2540479,400
    2540481,200
    2540499,800
    254050200
    25405110,200
    2540522,600
    25405310,600
    2540545,400
    2540552,200
    2540561,400
    25405711,400
    2540585,800
    25405911,800
    254060600
    25406112,200
    2540626,200
    25406312,600
    2540641,600
    2540652,600
    2540666,600
    25406713,400
    2540683,400
    25406913,800
    2540701,400
    25407114,200
    2540721,800
    25407314,600
    2540747,400

    FAQ

    What's the Least Common Multiple (LCM) of 25, 40 and 60?

    LCM of 25, 40 and 60 is 600

    How to find the LCM of 25, 40 and 60 by prime factorization?

    Take every prime that appears in 25, 40 and 60 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5² = 600.

    Can you get the LCM of 25, 40 and 60 two numbers at a time?

    Yes. The LCM of 25 and 40 is 200, and the LCM of 200 and 60 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 25, 40 and 60?

    Yes, and by definition it is the smallest positive integer that is: 600 ÷ 25, 600 ÷ 40 and 600 ÷ 60 all come out whole. Any other common multiple of 25, 40 and 60 is a multiple of 600.

    See Also