LCM for 16, 20 and 40

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What's the Least Common Multiple (LCM) of 16, 20 and 40?

Answer

LCM of 16, 20 and 40 is
80

First common multiples: 80, 160, 240, …

80 is divisible by all three: 80 ÷ 16 = 5, 80 ÷ 20 = 4, 80 ÷ 40 = 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/16 by 5 and of y/20 by 4 and of z/40 by 2.

16 = 24

20 = 22 × 5

40 = 23 × 5

Prime162040Highest power
224222324
5—555

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

LCM = 24 × 5 = 80

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LCM Table

1st2nd3rdLCM
162025400
1620261,040
1620272,160
162028560
1620292,320
162030240
1620312,480
162032160
1620332,640
1620341,360
162035560
162036720
1620372,960
1620381,520
1620393,120
16204080
1620413,280
1620421,680
1620433,440
162044880
162045720
1620461,840
1620473,760
162048240
1620493,920
162050400
1620514,080
1620521,040
1620534,240
1620542,160

FAQ

What's the Least Common Multiple (LCM) of 16, 20 and 40?

LCM of 16, 20 and 40 is 80

How to find the LCM of 16, 20 and 40 by prime factorization?

Take every prime that appears in 16, 20 and 40 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 = 80.

Can you get the LCM of 16, 20 and 40 two numbers at a time?

Yes. The LCM of 16 and 20 is 80, and the LCM of 80 and 40 is 80 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 80 divisible by 16, 20 and 40?

Yes, and by definition it is the smallest positive integer that is: 80 ÷ 16, 80 ÷ 20 and 80 ÷ 40 all come out whole. Any other common multiple of 16, 20 and 40 is a multiple of 80.

See Also