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    LCM for 156, 195 and 390

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

    What's the Least Common Multiple (LCM) of 156, 195 and 390?

    Answer

    LCM of 156, 195 and 390 is
    780

    First common multiples: 780; 1,560; 2,340; …

    780 is divisible by all three: 780 ÷ 156 = 5, 780 ÷ 195 = 4, 780 ÷ 390 = 2 — and 5, 4 and 2 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/156 by 5 and of y/195 by 4 and of z/390 by 2.

    156 = 22 × 3 × 13

    195 = 3 × 5 × 13

    390 = 2 × 3 × 5 × 13

    Prime156195390Highest power
    222—222
    33333
    5—555
    1313131313

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

    LCM = 22 × 3 × 5 × 13 = 780

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    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/156--195--390">What is the LCM of 156, 195 and 390? - Calculatio</a>Copy
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    What is the LCM of 156, 195 and 390? The LCM of 156, 195 and 390 is 780 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    1st2nd3rdLCM
    15619537519,500
    15619537673,320
    15619537722,620
    15619537849,140
    156195379295,620
    15619538014,820
    15619538199,060
    156195382148,980
    156195383298,740
    15619538424,960
    15619538560,060
    156195386150,540
    156195387100,620
    15619538875,660
    156195389303,420
    156195390780
    156195391304,980
    15619539276,440
    156195393102,180
    156195394153,660
    15619539561,620
    15619539625,740
    156195397309,660
    156195398155,220
    156195399103,740
    15619540015,600
    156195401312,780
    15619540252,260
    15619540324,180
    15619540478,780

    FAQ

    What's the Least Common Multiple (LCM) of 156, 195 and 390?

    LCM of 156, 195 and 390 is 780

    How to find the LCM of 156, 195 and 390 by prime factorization?

    Take every prime that appears in 156, 195 and 390 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5 × 13 = 780.

    Can you get the LCM of 156, 195 and 390 two numbers at a time?

    Yes. The LCM of 156 and 195 is 780, and the LCM of 780 and 390 is 780 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 780 divisible by 156, 195 and 390?

    Yes, and by definition it is the smallest positive integer that is: 780 ÷ 156, 780 ÷ 195 and 780 ÷ 390 all come out whole. Any other common multiple of 156, 195 and 390 is a multiple of 780.

    See Also