LCM for 7, 20 and 35

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What's the Least Common Multiple (LCM) of 7, 20 and 35?

Answer

LCM of 7, 20 and 35 is
140

First common multiples: 140, 280, 420, …

140 is divisible by all three: 140 ÷ 7 = 20, 140 ÷ 20 = 7, 140 ÷ 35 = 4 — and 20, 7 and 4 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/7 by 20 and of y/20 by 7 and of z/35 by 4.

7 — prime

20 = 22 × 5

35 = 5 × 7

Prime72035Highest power
2—22—22
5—555
77—77

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

LCM = 22 × 5 × 7 = 140

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LCM Table

1st2nd3rdLCM
72020140
72021420
720221,540
720233,220
72024840
72025700
720261,820
720273,780
72028140
720294,060
72030420
720314,340
720321,120
720334,620
720342,380
72035140
720361,260
720375,180
720382,660
720395,460
72040280
720415,740
72042420
720436,020
720441,540
720451,260
720463,220
720476,580
720481,680
72049980

FAQ

What's the Least Common Multiple (LCM) of 7, 20 and 35?

LCM of 7, 20 and 35 is 140

How to find the LCM of 7, 20 and 35 by prime factorization?

Take every prime that appears in 7, 20 and 35 to the highest power it reaches in any one of them and multiply: 2² × 5 × 7 = 140.

Can you get the LCM of 7, 20 and 35 two numbers at a time?

Yes. The LCM of 7 and 20 is 140, and the LCM of 140 and 35 is 140 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 140 divisible by 7, 20 and 35?

Yes, and by definition it is the smallest positive integer that is: 140 ÷ 7, 140 ÷ 20 and 140 ÷ 35 all come out whole. Any other common multiple of 7, 20 and 35 is a multiple of 140.

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