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    LCM for 15, 25 and 40

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

    What's the Least Common Multiple (LCM) of 15, 25 and 40?

    Answer

    LCM of 15, 25 and 40 is
    600

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

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

    15 = 3 × 5

    25 = 52

    40 = 23 × 5

    Prime152540Highest power
    2——2323
    33——3
    5552552

    — = 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/15--25--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--40">What is the LCM of 15, 25 and 40? - Calculatio</a>Copy
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    What is the LCM of 15, 25 and 40? The LCM of 15, 25 and 40 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/15--25--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    15252575
    1525261,950
    152527675
    1525282,100
    1525292,175
    152530150
    1525312,325
    1525322,400
    152533825
    1525342,550
    152535525
    152536900
    1525372,775
    1525382,850
    152539975
    152540600
    1525413,075
    1525421,050
    1525433,225
    1525443,300
    152545225
    1525463,450
    1525473,525
    1525481,200
    1525493,675
    152550150
    1525511,275
    1525523,900
    1525533,975
    1525541,350

    FAQ

    What's the Least Common Multiple (LCM) of 15, 25 and 40?

    LCM of 15, 25 and 40 is 600

    How to find the LCM of 15, 25 and 40 by prime factorization?

    Take every prime that appears in 15, 25 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5² = 600.

    Can you get the LCM of 15, 25 and 40 two numbers at a time?

    Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 40 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 15, 25 and 40?

    Yes, and by definition it is the smallest positive integer that is: 600 ÷ 15, 600 ÷ 25 and 600 ÷ 40 all come out whole. Any other common multiple of 15, 25 and 40 is a multiple of 600.

    See Also