LCM for 5, 25 and 65

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
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What's the Least Common Multiple (LCM) of 5, 25 and 65?

Answer

LCM of 5, 25 and 65 is
325

(Three hundred twenty-five)

325 is the smallest positive integer that 5, 25 and 65 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 5, 25 and 65 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 5: 5 (exponent form: 5)

All Prime Factors of 25: 5 × 5 (exponent form: 52)

All Prime Factors of 65: 5 × 13 (exponent form: 5 × 13)

Prime factor52565Highest power
5552552
13——1313

LCM = 52 × 13 = 325

Checking the LCM of 5, 25 and 65 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(5, 25) = (5 × 25) ÷ 5 = 125 ÷ 5 = 25

LCM(25, 65) = (25 × 65) ÷ 5 = 1,625 ÷ 5 = 325

LCM(5, 25, 65) = 325

The pairs may be taken in any order — 25 and 65 first, then 5 — and the answer is the same 325. That is exactly why the two routes on this page agree.

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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 5, 25 and 65? (The answer is: 325). Enter the first number (e.g. '5'), the second (e.g. '25') and the third (e.g. '65'), 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
5255050
525511,275
525521,300
525531,325
525541,350
52555275
525561,400
525571,425
525581,450
525591,475
52560300
525611,525
525621,550
525631,575
525641,600
52565325
525661,650
525671,675
525681,700
525691,725
52570350
525711,775
525721,800
525731,825
525741,850
5257575
525761,900
525771,925
525781,950
525791,975

FAQ

What's the Least Common Multiple (LCM) of 5, 25 and 65?

LCM of 5, 25 and 65 is 325

How to find the LCM of 5, 25 and 65 by prime factorization?

Take every prime that appears in 5, 25 and 65 to the highest power it reaches in any one of them and multiply: 5² × 13 = 325.

Can you get the LCM of 5, 25 and 65 two numbers at a time?

Yes, and it is the check this page prints. The LCM of 5 and 25 is 25, and the LCM of 25 and 65 is 325 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 325 divisible by 5, 25 and 65?

Yes, and by definition it is the smallest positive integer that is: 325 ÷ 5, 325 ÷ 25 and 325 ÷ 65 all come out whole. Any other common multiple of 5, 25 and 65 is a multiple of 325.

See Also