LCM for 10, 20 and 40

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What's the Least Common Multiple (LCM) of 10, 20 and 40?

Answer

LCM of 10, 20 and 40 is
40

First common multiples: 40, 80, 120, …

40 is divisible by all three: 40 ÷ 10 = 4, 40 ÷ 20 = 2, 40 ÷ 40 = 1 — and 4, 2 and 1 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/10 by 4 and of y/20 by 2.

10 = 2 × 5

20 = 22 × 5

40 = 23 × 5

Prime102040Highest power
22222323
55555

LCM = 23 × 5 = 40

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LCM Table

1st2nd3rdLCM
102025100
102026260
102027540
102028140
102029580
10203060
102031620
102032160
102033660
102034340
102035140
102036180
102037740
102038380
102039780
10204040
102041820
102042420
102043860
102044220
102045180
102046460
102047940
102048240
102049980
102050100
1020511,020
102052260
1020531,060
102054540

FAQ

What's the Least Common Multiple (LCM) of 10, 20 and 40?

LCM of 10, 20 and 40 is 40

How to find the LCM of 10, 20 and 40 by prime factorization?

Take every prime that appears in 10, 20 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5 = 40.

Can you get the LCM of 10, 20 and 40 two numbers at a time?

Yes. The LCM of 10 and 20 is 20, and the LCM of 20 and 40 is 40 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 40 divisible by 10, 20 and 40?

Yes, and by definition it is the smallest positive integer that is: 40 ÷ 10, 40 ÷ 20 and 40 ÷ 40 all come out whole. Any other common multiple of 10, 20 and 40 is a multiple of 40.

See Also