Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    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

    (Two thousand two hundred ten)

    2,210 is the smallest positive integer that 10, 17 and 26 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 10, 17 and 26 by Prime Factorization

    Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

    All Prime Factors of 10: 2 × 5 (exponent form: 2 × 5)

    All Prime Factors of 17: 17 (exponent form: 17)

    All Prime Factors of 26: 2 × 13 (exponent form: 2 × 13)

    Prime factor101726Highest power
    22—22
    55——5
    13——1313
    17—17—17

    LCM = 2 × 5 × 13 × 17 = 2,210

    Checking the LCM of 10, 17 and 26 Two Numbers at a Time

    The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

    LCM(a, b) = (a × b) ÷ GCD(a, b)

    LCM(10, 17) = (10 × 17) ÷ 1 = 170 ÷ 1 = 170

    LCM(170, 26) = (170 × 26) ÷ 2 = 4,420 ÷ 2 = 2,210

    LCM(10, 17, 26) = 2,210

    The pairs may be taken in any order — 17 and 26 first, then 10 — and the answer is the same 2,210. That is exactly why the two routes on this page agree.

    Related Calculations

    See Also

    Share This Calculation
    Print
    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
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    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

    Number 1Number 2Number 3LCM
    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

    About "Least Common Multiple of 3 Numbers" Calculator

    This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 10, 17 and 26? (The answer is: 2,210). Enter the first number (e.g. '10'), the second (e.g. '17') and the third (e.g. '26'), then hit the 'Calculate' button.
    The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    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, and it is the check this page prints. 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