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    LCM for 10, 25 and 35

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

    What's the Least Common Multiple (LCM) of 10, 25 and 35?

    Answer

    LCM of 10, 25 and 35 is
    350

    First common multiples: 350; 700; 1,050; …

    350 is divisible by all three: 350 ÷ 10 = 35, 350 ÷ 25 = 14, 350 ÷ 35 = 10 — and 35, 14 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/10 by 35 and of y/25 by 14 and of z/35 by 10.

    10 = 2 × 5

    25 = 52

    35 = 5 × 7

    Prime102535Highest power
    22——2
    5552552
    7——77

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

    LCM = 2 × 52 × 7 = 350

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--35Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--25--35">What is the LCM of 10, 25 and 35? - Calculatio</a>Copy
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    What is the LCM of 10, 25 and 35? The LCM of 10, 25 and 35 is 350 — 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--35/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    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
    102545450
    1025461,150
    1025472,350
    1025481,200
    1025492,450

    FAQ

    What's the Least Common Multiple (LCM) of 10, 25 and 35?

    LCM of 10, 25 and 35 is 350

    How to find the LCM of 10, 25 and 35 by prime factorization?

    Take every prime that appears in 10, 25 and 35 to the highest power it reaches in any one of them and multiply: 2 × 5² × 7 = 350.

    Can you get the LCM of 10, 25 and 35 two numbers at a time?

    Yes. The LCM of 10 and 25 is 50, and the LCM of 50 and 35 is 350 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 350 divisible by 10, 25 and 35?

    Yes, and by definition it is the smallest positive integer that is: 350 ÷ 10, 350 ÷ 25 and 350 ÷ 35 all come out whole. Any other common multiple of 10, 25 and 35 is a multiple of 350.

    See Also