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    LCM for 15, 25 and 45

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

    What's the Least Common Multiple (LCM) of 15, 25 and 45?

    Answer

    LCM of 15, 25 and 45 is
    225

    First common multiples: 225, 450, 675, …

    225 is divisible by all three: 225 ÷ 15 = 15, 225 ÷ 25 = 9, 225 ÷ 45 = 5 — and 15, 9 and 5 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 15 and of y/25 by 9 and of z/45 by 5.

    15 = 3 × 5

    25 = 52

    45 = 32 × 5

    Prime152545Highest power
    33—3232
    5552552

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

    LCM = 32 × 52 = 225

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--45">What is the LCM of 15, 25 and 45? - Calculatio</a>Copy
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    What is the LCM of 15, 25 and 45? The LCM of 15, 25 and 45 is 225 — 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--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    152530150
    1525312,325
    1525322,400
    152533825
    1525342,550
    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

    FAQ

    What's the Least Common Multiple (LCM) of 15, 25 and 45?

    LCM of 15, 25 and 45 is 225

    How to find the LCM of 15, 25 and 45 by prime factorization?

    Take every prime that appears in 15, 25 and 45 to the highest power it reaches in any one of them and multiply: 3² × 5² = 225.

    Can you get the LCM of 15, 25 and 45 two numbers at a time?

    Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 45 is 225 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 225 divisible by 15, 25 and 45?

    Yes, and by definition it is the smallest positive integer that is: 225 ÷ 15, 225 ÷ 25 and 225 ÷ 45 all come out whole. Any other common multiple of 15, 25 and 45 is a multiple of 225.

    See Also