LCM for 16, 28 and 44

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

What's the Least Common Multiple (LCM) of 16, 28 and 44?

Answer

LCM of 16, 28 and 44 is
1,232

(One thousand two hundred thirty-two)

1,232 is the smallest positive integer that 16, 28 and 44 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 16, 28 and 44 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 16: 2 × 2 × 2 × 2 (exponent form: 24)

All Prime Factors of 28: 2 × 2 × 7 (exponent form: 22 × 7)

All Prime Factors of 44: 2 × 2 × 11 (exponent form: 22 × 11)

Prime factor162844Highest power
224222224
7—7—7
11——1111

LCM = 24 × 7 × 11 = 1,232

Checking the LCM of 16, 28 and 44 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(16, 28) = (16 × 28) ÷ 4 = 448 ÷ 4 = 112

LCM(112, 44) = (112 × 44) ÷ 4 = 4,928 ÷ 4 = 1,232

LCM(16, 28, 44) = 1,232

The pairs may be taken in any order — 28 and 44 first, then 16 — and the answer is the same 1,232. 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 16, 28 and 44? (The answer is: 1,232). Enter the first number (e.g. '16'), the second (e.g. '28') and the third (e.g. '44'), 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
1628293,248
1628301,680
1628313,472
162832224
1628333,696
1628341,904
162835560
1628361,008
1628374,144
1628382,128
1628394,368
162840560
1628414,592
162842336
1628434,816
1628441,232
1628455,040
1628462,576
1628475,264
162848336
162849784
1628502,800
1628515,712
1628521,456
1628535,936
1628543,024
1628556,160
162856112
1628576,384
1628583,248

FAQ

What's the Least Common Multiple (LCM) of 16, 28 and 44?

LCM of 16, 28 and 44 is 1,232

How to find the LCM of 16, 28 and 44 by prime factorization?

Take every prime that appears in 16, 28 and 44 to the highest power it reaches in any one of them and multiply: 2⁴ × 7 × 11 = 1,232.

Can you get the LCM of 16, 28 and 44 two numbers at a time?

Yes, and it is the check this page prints. The LCM of 16 and 28 is 112, and the LCM of 112 and 44 is 1,232 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,232 divisible by 16, 28 and 44?

Yes, and by definition it is the smallest positive integer that is: 1,232 ÷ 16, 1,232 ÷ 28 and 1,232 ÷ 44 all come out whole. Any other common multiple of 16, 28 and 44 is a multiple of 1,232.

See Also