LCM for 80 and 495

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What's the Least Common Multiple (LCM) of 80 and 495?

Answer

LCM of 80 and 495 is
7,920

First common multiples: 7,920; 15,840; 23,760; …

7,920 is divisible by both: 7,920 ÷ 80 = 99; 7,920 ÷ 495 = 16 — and 99 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 99 and of y/495 by 16.

80 = 24 × 5

495 = 32 × 5 × 11

Prime80495Highest power
224—24
3—3232
5555
11—1111

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

LCM = 24 × 32 × 5 × 11 = 7,920

See Also

FAQ

What's the Least Common Multiple (LCM) of 80 and 495?

LCM of 80 and 495 is 7,920

How to find the LCM of 80 and 495 using prime factorization?

To find the LCM of 80 and 495, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,920.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 80 and 495: LCM = 7,920, GCF = 5.