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    LCM for 25, 30 and 40

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

    What's the Least Common Multiple (LCM) of 25, 30 and 40?

    Answer

    LCM of 25, 30 and 40 is
    600

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

    600 is divisible by all three: 600 ÷ 25 = 24, 600 ÷ 30 = 20, 600 ÷ 40 = 15 — and 24, 20 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/25 by 24 and of y/30 by 20 and of z/40 by 15.

    25 = 52

    30 = 2 × 3 × 5

    40 = 23 × 5

    Prime253040Highest power
    2—22323
    3—3—3
    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--30--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--30--40">What is the LCM of 25, 30 and 40? - Calculatio</a>Copy
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    What is the LCM of 25, 30 and 40? The LCM of 25, 30 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/25--30--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    252530150
    2526301,950
    2527301,350
    2528302,100
    2529304,350
    253030150
    2530314,650
    2530322,400
    2530331,650
    2530342,550
    2530351,050
    253036900
    2530375,550
    2530382,850
    2530391,950
    253040600
    2530416,150
    2530421,050
    2530436,450
    2530443,300
    253045450
    2530463,450
    2530477,050
    2530481,200
    2530497,350
    253050150
    2530512,550
    2530523,900
    2530537,950
    2530541,350

    FAQ

    What's the Least Common Multiple (LCM) of 25, 30 and 40?

    LCM of 25, 30 and 40 is 600

    How to find the LCM of 25, 30 and 40 by prime factorization?

    Take every prime that appears in 25, 30 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 25, 30 and 40 two numbers at a time?

    Yes. The LCM of 25 and 30 is 150, and the LCM of 150 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 25, 30 and 40?

    Yes, and by definition it is the smallest positive integer that is: 600 ÷ 25, 600 ÷ 30 and 600 ÷ 40 all come out whole. Any other common multiple of 25, 30 and 40 is a multiple of 600.

    See Also