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    LCM for 10, 25 and 30

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

    What's the Least Common Multiple (LCM) of 10, 25 and 30?

    Answer

    LCM of 10, 25 and 30 is
    150

    First common multiples: 150, 300, 450, …

    150 is divisible by all three: 150 ÷ 10 = 15, 150 ÷ 25 = 6, 150 ÷ 30 = 5 — and 15, 6 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 15 and of y/25 by 6 and of z/30 by 5.

    10 = 2 × 5

    25 = 52

    30 = 2 × 3 × 5

    Prime102530Highest power
    22—22
    3——33
    5552552

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

    LCM = 2 × 3 × 52 = 150

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--30Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--30">What is the LCM of 10, 25 and 30? - Calculatio</a>Copy
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    What is the LCM of 10, 25 and 30? The LCM of 10, 25 and 30 is 150 — 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--30/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    101525150
    101625400
    101725850
    101825450
    101925950
    102025100
    1021251,050
    102225550
    1023251,150
    102425600
    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

    FAQ

    What's the Least Common Multiple (LCM) of 10, 25 and 30?

    LCM of 10, 25 and 30 is 150

    How to find the LCM of 10, 25 and 30 by prime factorization?

    Take every prime that appears in 10, 25 and 30 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

    Can you get the LCM of 10, 25 and 30 two numbers at a time?

    Yes. The LCM of 10 and 25 is 50, and the LCM of 50 and 30 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 150 divisible by 10, 25 and 30?

    Yes, and by definition it is the smallest positive integer that is: 150 ÷ 10, 150 ÷ 25 and 150 ÷ 30 all come out whole. Any other common multiple of 10, 25 and 30 is a multiple of 150.

    See Also