LCM for 16, 24 and 40

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 16, 24 and 40?

Answer

LCM of 16, 24 and 40 is
240

First common multiples: 240, 480, 720, …

240 is divisible by all three: 240 ÷ 16 = 15, 240 ÷ 24 = 10, 240 ÷ 40 = 6 — and 15, 10 and 6 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 15 and of y/24 by 10 and of z/40 by 6.

16 = 24

24 = 23 × 3

40 = 23 × 5

Prime162440Highest power
224232324
3—3—3
5——55

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

LCM = 24 × 3 × 5 = 240

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
1624251,200
162426624
162427432
162428336
1624291,392
162430240
1624311,488
16243296
162433528
162434816
1624351,680
162436144
1624371,776
162438912
162439624
162440240
1624411,968
162442336
1624432,064
162444528
162445720
1624461,104
1624472,256
16244848
1624492,352
1624501,200
162451816
162452624
1624532,544
162454432

FAQ

What's the Least Common Multiple (LCM) of 16, 24 and 40?

LCM of 16, 24 and 40 is 240

How to find the LCM of 16, 24 and 40 by prime factorization?

Take every prime that appears in 16, 24 and 40 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 × 5 = 240.

Can you get the LCM of 16, 24 and 40 two numbers at a time?

Yes. The LCM of 16 and 24 is 48, and the LCM of 48 and 40 is 240 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 240 divisible by 16, 24 and 40?

Yes, and by definition it is the smallest positive integer that is: 240 ÷ 16, 240 ÷ 24 and 240 ÷ 40 all come out whole. Any other common multiple of 16, 24 and 40 is a multiple of 240.

See Also