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    LCM for 3, 27 and 35

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

    What's the Least Common Multiple (LCM) of 3, 27 and 35?

    Answer

    LCM of 3, 27 and 35 is
    945

    (Nine hundred forty-five)

    945 is the smallest positive integer that 3, 27 and 35 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 3, 27 and 35 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 3: 3 (exponent form: 3)

    All Prime Factors of 27: 3 × 3 × 3 (exponent form: 33)

    All Prime Factors of 35: 5 × 7 (exponent form: 5 × 7)

    Prime factor32735Highest power
    3333—33
    5——55
    7——77

    LCM = 33 × 5 × 7 = 945

    Checking the LCM of 3, 27 and 35 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(3, 27) = (3 × 27) ÷ 3 = 81 ÷ 3 = 27

    LCM(27, 35) = (27 × 35) ÷ 1 = 945 ÷ 1 = 945

    LCM(3, 27, 35) = 945

    The pairs may be taken in any order — 27 and 35 first, then 3 — and the answer is the same 945. That is exactly why the two routes on this page agree.

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    What is the LCM of 3, 27 and 35?. The LCM of 3, 27 and 35 is 945 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    Number 1Number 2Number 3LCM
    32027540
    32127189
    32227594
    32327621
    32427216
    32527675
    32627702
    3272727
    32728756
    32729783
    32730270
    32731837
    32732864
    32733297
    32734918
    32735945
    32736108
    32737999
    327381,026
    32739351
    327401,080
    327411,107
    32742378
    327431,161
    327441,188
    32745135
    327461,242
    327471,269
    32748432
    327491,323

    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 3, 27 and 35? (The answer is: 945). Enter the first number (e.g. '3'), the second (e.g. '27') and the third (e.g. '35'), 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 3, 27 and 35?

    LCM of 3, 27 and 35 is 945

    How to find the LCM of 3, 27 and 35 by prime factorization?

    Take every prime that appears in 3, 27 and 35 to the highest power it reaches in any one of them and multiply: 3³ × 5 × 7 = 945.

    Can you get the LCM of 3, 27 and 35 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 3 and 27 is 27, and the LCM of 27 and 35 is 945 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 945 divisible by 3, 27 and 35?

    Yes, and by definition it is the smallest positive integer that is: 945 ÷ 3, 945 ÷ 27 and 945 ÷ 35 all come out whole. Any other common multiple of 3, 27 and 35 is a multiple of 945.

    See Also