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    LCM for 5, 10 and 25

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

    What's the Least Common Multiple (LCM) of 5, 10 and 25?

    Answer

    LCM of 5, 10 and 25 is
    50

    (Fifty)

    50 is the smallest positive integer that 5, 10 and 25 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 5, 10 and 25 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 10: 2 × 5 (exponent form: 2 × 5)

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

    Prime factor51025Highest power
    2—2—2
    5555252

    LCM = 2 × 52 = 50

    Checking the LCM of 5, 10 and 25 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, 10) = (5 × 10) ÷ 5 = 50 ÷ 5 = 10

    LCM(10, 25) = (10 × 25) ÷ 5 = 250 ÷ 5 = 50

    LCM(5, 10, 25) = 50

    The pairs may be taken in any order — 10 and 25 first, then 5 — and the answer is the same 50. That is exactly why the two routes on this page agree.

    Related Calculations

    See Also

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    What is the LCM of 5, 10 and 25?. The LCM of 5, 10 and 25 is 50 — 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
    5101010
    51011110
    5101260
    51013130
    5101470
    5101530
    5101680
    51017170
    5101890
    51019190
    5102020
    51021210
    51022110
    51023230
    51024120
    5102550
    51026130
    51027270
    51028140
    51029290
    5103030
    51031310
    51032160
    51033330
    51034170
    5103570
    51036180
    51037370
    51038190
    51039390

    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, 10 and 25? (The answer is: 50). Enter the first number (e.g. '5'), the second (e.g. '10') and the third (e.g. '25'), 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, 10 and 25?

    LCM of 5, 10 and 25 is 50

    How to find the LCM of 5, 10 and 25 by prime factorization?

    Take every prime that appears in 5, 10 and 25 to the highest power it reaches in any one of them and multiply: 2 × 5² = 50.

    Can you get the LCM of 5, 10 and 25 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 5 and 10 is 10, and the LCM of 10 and 25 is 50 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 50 divisible by 5, 10 and 25?

    Yes, and by definition it is the smallest positive integer that is: 50 ÷ 5, 50 ÷ 10 and 50 ÷ 25 all come out whole. Any other common multiple of 5, 10 and 25 is a multiple of 50.

    See Also