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    LCM for 15, 25 and 50

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

    What's the Least Common Multiple (LCM) of 15, 25 and 50?

    Answer

    LCM of 15, 25 and 50 is
    150

    First common multiples: 150, 300, 450, …

    150 is divisible by all three: 150 ÷ 15 = 10, 150 ÷ 25 = 6, 150 ÷ 50 = 3 — and 10, 6 and 3 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/15 by 10 and of y/25 by 6 and of z/50 by 3.

    15 = 3 × 5

    25 = 52

    50 = 2 × 52

    Prime152550Highest power
    2——22
    33——3
    55525252

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

    LCM = 2 × 3 × 52 = 150

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--50Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--50">What is the LCM of 15, 25 and 50? - Calculatio</a>Copy
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    What is the LCM of 15, 25 and 50? The LCM of 15, 25 and 50 is 150 — 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/15--25--50/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    152535525
    152536900
    1525372,775
    1525382,850
    152539975
    152540600
    1525413,075
    1525421,050
    1525433,225
    1525443,300
    152545225
    1525463,450
    1525473,525
    1525481,200
    1525493,675
    152550150
    1525511,275
    1525523,900
    1525533,975
    1525541,350
    152555825
    1525564,200
    1525571,425
    1525584,350
    1525594,425
    152560300
    1525614,575
    1525624,650
    1525631,575
    1525644,800

    FAQ

    What's the Least Common Multiple (LCM) of 15, 25 and 50?

    LCM of 15, 25 and 50 is 150

    How to find the LCM of 15, 25 and 50 by prime factorization?

    Take every prime that appears in 15, 25 and 50 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

    Can you get the LCM of 15, 25 and 50 two numbers at a time?

    Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 50 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 150 divisible by 15, 25 and 50?

    Yes, and by definition it is the smallest positive integer that is: 150 ÷ 15, 150 ÷ 25 and 150 ÷ 50 all come out whole. Any other common multiple of 15, 25 and 50 is a multiple of 150.

    See Also