Least Common Multiple of 488, 561, 517, 920, 468

Q: How to Find the LCM of 488, 561, 517, 920, 468 ?

Least Common Multiple of 488, 561, 517, 920, 468 = 57708925560 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(488, 561, 517, 920, 468) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 17 x 23 x 47 x 61 = 57708925560.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 488, 561, 517, 920, 468 i.e. 57708925560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 561, 517, 920, 468 is 57708925560.

LCM(488, 561, 517, 920, 468) = 57708925560

LCM of 488, 561, 517, 920, 468

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 488, 561, 517, 920, 468 by common division method
Least Common Multiple of 488, 561, 517, 920, 468 with GCF Formula

Least Common Multiple of 488,561,517,920,468

Least Common Multiple (LCM) of 488,561,517,920,468 is 57708925560

2	488, 561, 517, 920, 468
2	244, 561, 517, 460, 234
2	122, 561, 517, 230, 117
3	61, 561, 517, 115, 117
11	61, 187, 517, 115, 39
	61, 17, 47, 115, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 61 x 17 x 47 x 115 x 39 = 57708925560

Least Common Multiple of 488,561,517,920,468 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 488,561,517,920,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,561,517,920,468) = 1

common factors(in case of two or more numbers have common factors) = 1056

GCF(488,561,517,920,468) x common factors =1 x 1056 = 1056

LCM(488,561,517,920,468) = ( 488 × 561 × 517 × 920 × 468 ) / 1056

LCM(488,561,517,920,468) = 60940625391360 / 1056

LCM(488,561,517,920,468) = 57708925560

∴ Least Common Multiple of 488,561,517,920,468 is 57708925560

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 488, 561, 517, 920, 468

1. What is the LCM of 488, 561, 517, 920, 468?

Answer: LCM of 488, 561, 517, 920, 468 is 57708925560.

2. What are the Factors of 57708925560?

Answer: Factors of 57708925560 are . There are integers that are factors of 57708925560

3. How to Find the LCM of 488, 561, 517, 920, 468 ?

Least Common Multiple of 488, 561, 517, 920, 468.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(488, 561, 517, 920, 468) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 17 x 23 x 47 x 61 = 57708925560.