LCM for 11, 14 and 24

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What's the Least Common Multiple (LCM) of 11, 14 and 24?

Answer

LCM of 11, 14 and 24 is
1,848

First common multiples: 1,848; 3,696; 5,544; …

1,848 is divisible by all three: 1,848 ÷ 11 = 168; 1,848 ÷ 14 = 132; 1,848 ÷ 24 = 77 — and 168, 132 and 77 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/11 by 168 and of y/14 by 132 and of z/24 by 77.

11 — prime

14 = 2 × 7

24 = 23 × 3

Prime111424Highest power
2—22323
3——33
7—7—7
1111——11

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

LCM = 23 × 3 × 7 × 11 = 1,848

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LCM Table

1st2nd3rdLCM
911141,386
101114770
111114154
111214924
1113142,002
111414154
1114152,310
1114161,232
1114172,618
1114181,386
1114192,926
1114201,540
111421462
111422154
1114233,542
1114241,848
1114253,850
1114262,002
1114274,158
111428308
1114294,466
1114302,310
1114314,774
1114322,464
111433462
1114342,618
111435770
1114362,772
1114375,698
1114382,926

FAQ

What's the Least Common Multiple (LCM) of 11, 14 and 24?

LCM of 11, 14 and 24 is 1,848

How to find the LCM of 11, 14 and 24 by prime factorization?

Take every prime that appears in 11, 14 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 7 × 11 = 1,848.

Can you get the LCM of 11, 14 and 24 two numbers at a time?

Yes. The LCM of 11 and 14 is 154, and the LCM of 154 and 24 is 1,848 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,848 divisible by 11, 14 and 24?

Yes, and by definition it is the smallest positive integer that is: 1,848 ÷ 11, 1,848 ÷ 14 and 1,848 ÷ 24 all come out whole. Any other common multiple of 11, 14 and 24 is a multiple of 1,848.

See Also