LCM for 11, 14 and 24

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

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

Answer

LCM of 11, 14 and 24 is
1,848

(One thousand eight hundred forty-eight)

1,848 is the smallest positive integer that 11, 14 and 24 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 11, 14 and 24 by Prime Factorization

Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

All Prime Factors of 11: 11 (exponent form: 11)

All Prime Factors of 14: 2 × 7 (exponent form: 2 × 7)

All Prime Factors of 24: 2 × 2 × 2 × 3 (exponent form: 23 × 3)

Prime factor111424Highest power
2—22323
3——33
7—7—7
1111——11

LCM = 23 × 3 × 7 × 11 = 1,848

Checking the LCM of 11, 14 and 24 Two Numbers at a Time

The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

LCM(a, b) = (a × b) ÷ GCD(a, b)

LCM(11, 14) = (11 × 14) ÷ 1 = 154 ÷ 1 = 154

LCM(154, 24) = (154 × 24) ÷ 2 = 3,696 ÷ 2 = 1,848

LCM(11, 14, 24) = 1,848

The pairs may be taken in any order — 14 and 24 first, then 11 — and the answer is the same 1,848. That is exactly why the two routes on this page agree.

Related Calculations

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About "Least Common Multiple of 3 Numbers" Calculator

This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 11, 14 and 24? (The answer is: 1,848). Enter the first number (e.g. '11'), the second (e.g. '14') and the third (e.g. '24'), then hit the 'Calculate' button.
The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

LCM Table

Number 1Number 2Number 3LCM
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, and it is the check this page prints. 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