Least Common Multiple of 496, 3152

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 496, 3152 i.e. 97712 smallest integer divisible by all numbers.

Least common multiple (LCM) of 496, 3152 is 97712.

LCM(496, 3152) = 97712

LCM of 496, 3152

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

LCM of:

Least Common Multiple of 496,3152

Least Common Multiple (LCM) of 496,3152 is 97712

2 496, 3152
2 248, 1576
2 124, 788
2 62, 394
31, 197

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 197 = 97712

Least Common Multiple of 496,3152 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 496,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,3152) = 16

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

GCF(496,3152) x common factors =16 x 1 = 16

LCM(496,3152) = ( 496 × 3152 ) / 16

LCM(496,3152) = 1563392 / 16

LCM(496,3152) = 97712

∴ Least Common Multiple of 496,3152 is 97712

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 496, 3152

1. What is the LCM of 496, 3152?

Answer: LCM of 496, 3152 is 97712.

2. What are the Factors of 97712?

Answer: Factors of 97712 are . There are integers that are factors of 97712

3. How to Find the LCM of 496, 3152 ?

Least Common Multiple of 496, 3152.

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(496, 3152) = 2 x 2 x 2 x 2 x 31 x 197 = 97712.