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    LCM for 10, 25 and 40

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

    What's the Least Common Multiple (LCM) of 10, 25 and 40?

    Answer

    LCM of 10, 25 and 40 is
    200

    First common multiples: 200, 400, 600, …

    200 is divisible by all three: 200 ÷ 10 = 20, 200 ÷ 25 = 8, 200 ÷ 40 = 5 — and 20, 8 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/10 by 20 and of y/25 by 8 and of z/40 by 5.

    10 = 2 × 5

    25 = 52

    40 = 23 × 5

    Prime102540Highest power
    22—2323
    5552552

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

    LCM = 23 × 52 = 200

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--40">What is the LCM of 10, 25 and 40? - Calculatio</a>Copy
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    What is the LCM of 10, 25 and 40? The LCM of 10, 25 and 40 is 200 — 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/10--25--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    10252550
    102526650
    1025271,350
    102528700
    1025291,450
    102530150
    1025311,550
    102532800
    1025331,650
    102534850
    102535350
    102536900
    1025371,850
    102538950
    1025391,950
    102540200
    1025412,050
    1025421,050
    1025432,150
    1025441,100
    102545450
    1025461,150
    1025472,350
    1025481,200
    1025492,450
    10255050
    1025512,550
    1025521,300
    1025532,650
    1025541,350

    FAQ

    What's the Least Common Multiple (LCM) of 10, 25 and 40?

    LCM of 10, 25 and 40 is 200

    How to find the LCM of 10, 25 and 40 by prime factorization?

    Take every prime that appears in 10, 25 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5² = 200.

    Can you get the LCM of 10, 25 and 40 two numbers at a time?

    Yes. The LCM of 10 and 25 is 50, and the LCM of 50 and 40 is 200 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 200 divisible by 10, 25 and 40?

    Yes, and by definition it is the smallest positive integer that is: 200 ÷ 10, 200 ÷ 25 and 200 ÷ 40 all come out whole. Any other common multiple of 10, 25 and 40 is a multiple of 200.

    See Also