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    LCM for 10, 17 and 26

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

    What's the Least Common Multiple (LCM) of 10, 17 and 26?

    Answer

    LCM of 10, 17 and 26 is
    2,210

    First common multiples: 2,210; 4,420; 6,630; …

    2,210 is divisible by all three: 2,210 ÷ 10 = 221; 2,210 ÷ 17 = 130; 2,210 ÷ 26 = 85 — and 221, 130 and 85 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 221 and of y/17 by 130 and of z/26 by 85.

    10 = 2 × 5

    17 — prime

    26 = 2 × 13

    Prime101726Highest power
    22—22
    55——5
    13——1313
    17—17—17

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

    LCM = 2 × 5 × 13 × 17 = 2,210

    Related Calculations

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--17--26Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/10--17--26">What is the LCM of 10, 17 and 26? - Calculatio</a>Copy
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    What is the LCM of 10, 17 and 26? The LCM of 10, 17 and 26 is 2,210 — 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--17--26/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1011171,870
    1012171,020
    1013172,210
    1014171,190
    101517510
    1016171,360
    101717170
    1017181,530
    1017193,230
    101720340
    1017213,570
    1017221,870
    1017233,910
    1017242,040
    101725850
    1017262,210
    1017274,590
    1017282,380
    1017294,930
    101730510
    1017315,270
    1017322,720
    1017335,610
    101734170
    1017351,190
    1017363,060
    1017376,290
    1017383,230
    1017396,630
    101740680

    FAQ

    What's the Least Common Multiple (LCM) of 10, 17 and 26?

    LCM of 10, 17 and 26 is 2,210

    How to find the LCM of 10, 17 and 26 by prime factorization?

    Take every prime that appears in 10, 17 and 26 to the highest power it reaches in any one of them and multiply: 2 × 5 × 13 × 17 = 2,210.

    Can you get the LCM of 10, 17 and 26 two numbers at a time?

    Yes. The LCM of 10 and 17 is 170, and the LCM of 170 and 26 is 2,210 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 2,210 divisible by 10, 17 and 26?

    Yes, and by definition it is the smallest positive integer that is: 2,210 ÷ 10, 2,210 ÷ 17 and 2,210 ÷ 26 all come out whole. Any other common multiple of 10, 17 and 26 is a multiple of 2,210.

    See Also