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    LCM for 5, 25 and 65

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

    What's the Least Common Multiple (LCM) of 5, 25 and 65?

    Answer

    LCM of 5, 25 and 65 is
    325

    (Three hundred twenty-five)

    325 is the smallest positive integer that 5, 25 and 65 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 5, 25 and 65 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 5: 5 (exponent form: 5)

    All Prime Factors of 25: 5 × 5 (exponent form: 52)

    All Prime Factors of 65: 5 × 13 (exponent form: 5 × 13)

    Prime factor52565Highest power
    5552552
    13——1313

    LCM = 52 × 13 = 325

    Checking the LCM of 5, 25 and 65 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(5, 25) = (5 × 25) ÷ 5 = 125 ÷ 5 = 25

    LCM(25, 65) = (25 × 65) ÷ 5 = 1,625 ÷ 5 = 325

    LCM(5, 25, 65) = 325

    The pairs may be taken in any order — 25 and 65 first, then 5 — and the answer is the same 325. That is exactly why the two routes on this page agree.

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    What is the LCM of 5, 25 and 65?. The LCM of 5, 25 and 65 is 325 — 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
    5255050
    525511,275
    525521,300
    525531,325
    525541,350
    52555275
    525561,400
    525571,425
    525581,450
    525591,475
    52560300
    525611,525
    525621,550
    525631,575
    525641,600
    52565325
    525661,650
    525671,675
    525681,700
    525691,725
    52570350
    525711,775
    525721,800
    525731,825
    525741,850
    5257575
    525761,900
    525771,925
    525781,950
    525791,975

    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 5, 25 and 65? (The answer is: 325). Enter the first number (e.g. '5'), the second (e.g. '25') and the third (e.g. '65'), 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 5, 25 and 65?

    LCM of 5, 25 and 65 is 325

    How to find the LCM of 5, 25 and 65 by prime factorization?

    Take every prime that appears in 5, 25 and 65 to the highest power it reaches in any one of them and multiply: 5² × 13 = 325.

    Can you get the LCM of 5, 25 and 65 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 5 and 25 is 25, and the LCM of 25 and 65 is 325 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 325 divisible by 5, 25 and 65?

    Yes, and by definition it is the smallest positive integer that is: 325 ÷ 5, 325 ÷ 25 and 325 ÷ 65 all come out whole. Any other common multiple of 5, 25 and 65 is a multiple of 325.

    See Also