LCM for 156, 195 and 390

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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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See Also

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