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    LCM for 5, 7 and 10

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

    What's the Least Common Multiple (LCM) of 5, 7 and 10?

    Answer

    LCM of 5, 7 and 10 is
    70

    First common multiples: 70, 140, 210, …

    70 is divisible by all three: 70 ÷ 5 = 14, 70 ÷ 7 = 10, 70 ÷ 10 = 7 — and 14, 10 and 7 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/5 by 14 and of y/7 by 10 and of z/10 by 7.

    5 — prime

    7 — prime

    10 = 2 × 5

    Prime5710Highest power
    2——22
    55—55
    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 × 5 × 7 = 70

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/5--7--10Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/5--7--10">What is the LCM of 5, 7 and 10? - Calculatio</a>Copy
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    What is the LCM of 5, 7 and 10? The LCM of 5, 7 and 10 is 70 — 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/5--7--10/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    15735
    25770
    357105
    457140
    55735
    567210
    57735
    578280
    579315
    571070
    5711385
    5712420
    5713455
    571470
    5715105
    5716560
    5717595
    5718630
    5719665
    5720140
    5721105
    5722770
    5723805
    5724840
    5725175
    5726910
    5727945
    5728140
    57291,015
    5730210

    FAQ

    What's the Least Common Multiple (LCM) of 5, 7 and 10?

    LCM of 5, 7 and 10 is 70

    How to find the LCM of 5, 7 and 10 by prime factorization?

    Take every prime that appears in 5, 7 and 10 to the highest power it reaches in any one of them and multiply: 2 × 5 × 7 = 70.

    Can you get the LCM of 5, 7 and 10 two numbers at a time?

    Yes. The LCM of 5 and 7 is 35, and the LCM of 35 and 10 is 70 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 70 divisible by 5, 7 and 10?

    Yes, and by definition it is the smallest positive integer that is: 70 ÷ 5, 70 ÷ 7 and 70 ÷ 10 all come out whole. Any other common multiple of 5, 7 and 10 is a multiple of 70.