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    LCM for 15, 25 and 35

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

    What's the Least Common Multiple (LCM) of 15, 25 and 35?

    Answer

    LCM of 15, 25 and 35 is
    525

    First common multiples: 525; 1,050; 1,575; …

    525 is divisible by all three: 525 ÷ 15 = 35, 525 ÷ 25 = 21, 525 ÷ 35 = 15 — and 35, 21 and 15 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 35 and of y/25 by 21 and of z/35 by 15.

    15 = 3 × 5

    25 = 52

    35 = 5 × 7

    Prime152535Highest power
    33——3
    5552552
    7——77

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

    LCM = 3 × 52 × 7 = 525

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--35Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--25--35">What is the LCM of 15, 25 and 35? - Calculatio</a>Copy
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    What is the LCM of 15, 25 and 35? The LCM of 15, 25 and 35 is 525 — 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--35/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    152025300
    152125525
    1522251,650
    1523251,725
    152425600
    15252575
    1525261,950
    152527675
    1525282,100
    1525292,175
    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

    FAQ

    What's the Least Common Multiple (LCM) of 15, 25 and 35?

    LCM of 15, 25 and 35 is 525

    How to find the LCM of 15, 25 and 35 by prime factorization?

    Take every prime that appears in 15, 25 and 35 to the highest power it reaches in any one of them and multiply: 3 × 5² × 7 = 525.

    Can you get the LCM of 15, 25 and 35 two numbers at a time?

    Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 35 is 525 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 525 divisible by 15, 25 and 35?

    Yes, and by definition it is the smallest positive integer that is: 525 ÷ 15, 525 ÷ 25 and 525 ÷ 35 all come out whole. Any other common multiple of 15, 25 and 35 is a multiple of 525.