LCM for 20, 35 and 50

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What's the Least Common Multiple (LCM) of 20, 35 and 50?

Answer

LCM of 20, 35 and 50 is
700

First common multiples: 700; 1,400; 2,100; …

700 is divisible by all three: 700 ÷ 20 = 35, 700 ÷ 35 = 20, 700 ÷ 50 = 14 — and 35, 20 and 14 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/20 by 35 and of y/35 by 20 and of z/50 by 14.

20 = 22 × 5

35 = 5 × 7

50 = 2 × 52

Prime203550Highest power
222—222
5555252
7—7—7

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

LCM = 22 × 52 × 7 = 700

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LCM Table

1st2nd3rdLCM
203535140
2035361,260
2035375,180
2035382,660
2035395,460
203540280
2035415,740
203542420
2035436,020
2035441,540
2035451,260
2035463,220
2035476,580
2035481,680
203549980
203550700
2035517,140
2035521,820
2035537,420
2035543,780
2035551,540
203556280
2035577,980
2035584,060
2035598,260
203560420
2035618,540
2035624,340
2035631,260
2035642,240

FAQ

What's the Least Common Multiple (LCM) of 20, 35 and 50?

LCM of 20, 35 and 50 is 700

How to find the LCM of 20, 35 and 50 by prime factorization?

Take every prime that appears in 20, 35 and 50 to the highest power it reaches in any one of them and multiply: 2² × 5² × 7 = 700.

Can you get the LCM of 20, 35 and 50 two numbers at a time?

Yes. The LCM of 20 and 35 is 140, and the LCM of 140 and 50 is 700 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 700 divisible by 20, 35 and 50?

Yes, and by definition it is the smallest positive integer that is: 700 ÷ 20, 700 ÷ 35 and 700 ÷ 50 all come out whole. Any other common multiple of 20, 35 and 50 is a multiple of 700.

See Also