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    LCM for 10, 14 and 25

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

    What's the Least Common Multiple (LCM) of 10, 14 and 25?

    Answer

    LCM of 10, 14 and 25 is
    350

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

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

    10 = 2 × 5

    14 = 2 × 7

    25 = 52

    Prime101425Highest power
    222—2
    55—5252
    7—7—7

    — = 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--14--25Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--14--25">What is the LCM of 10, 14 and 25? - Calculatio</a>Copy
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    What is the LCM of 10, 14 and 25? The LCM of 10, 14 and 25 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--14--25/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    10101470
    101114770
    101214420
    101314910
    10141470
    101415210
    101416560
    1014171,190
    101418630
    1014191,330
    101420140
    101421210
    101422770
    1014231,610
    101424840
    101425350
    101426910
    1014271,890
    101428140
    1014292,030
    101430210
    1014312,170
    1014321,120
    1014332,310
    1014341,190
    10143570
    1014361,260
    1014372,590
    1014381,330
    1014392,730

    FAQ

    What's the Least Common Multiple (LCM) of 10, 14 and 25?

    LCM of 10, 14 and 25 is 350

    How to find the LCM of 10, 14 and 25 by prime factorization?

    Take every prime that appears in 10, 14 and 25 to the highest power it reaches in any one of them and multiply: 2 × 5² × 7 = 350.

    Can you get the LCM of 10, 14 and 25 two numbers at a time?

    Yes. The LCM of 10 and 14 is 70, and the LCM of 70 and 25 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, 14 and 25?

    Yes, and by definition it is the smallest positive integer that is: 350 ÷ 10, 350 ÷ 14 and 350 ÷ 25 all come out whole. Any other common multiple of 10, 14 and 25 is a multiple of 350.

    See Also