Least Common Multiple of 488, 7552

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, 7552 i.e. 460672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 7552 is 460672.

LCM(488, 7552) = 460672

LCM of 488, 7552

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

LCM of:

Least Common Multiple of 488,7552

Least Common Multiple (LCM) of 488,7552 is 460672

2 488, 7552
2 244, 3776
2 122, 1888
61, 944

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 944 = 460672

Least Common Multiple of 488,7552 with GCF Formula

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

We need to calculate greatest common factor of 488,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,7552) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(488,7552) x common factors =8 x 1 = 8

LCM(488,7552) = ( 488 × 7552 ) / 8

LCM(488,7552) = 3685376 / 8

LCM(488,7552) = 460672

∴ Least Common Multiple of 488,7552 is 460672

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 488, 7552

1. What is the LCM of 488, 7552?

Answer: LCM of 488, 7552 is 460672.

2. What are the Factors of 460672?

Answer: Factors of 460672 are . There are integers that are factors of 460672

3. How to Find the LCM of 488, 7552 ?

Least Common Multiple of 488, 7552.

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, 7552) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 61 = 460672.