Least Common Multiple of 496, 9904

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, 9904 i.e. 307024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 496, 9904 is 307024.

LCM(496, 9904) = 307024

LCM of 496, 9904

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

LCM of:

Least Common Multiple of 496,9904

Least Common Multiple (LCM) of 496,9904 is 307024

2 496, 9904
2 248, 4952
2 124, 2476
2 62, 1238
31, 619

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 619 = 307024

Least Common Multiple of 496,9904 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 496,9904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,9904) = 16

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

GCF(496,9904) x common factors =16 x 1 = 16

LCM(496,9904) = ( 496 × 9904 ) / 16

LCM(496,9904) = 4912384 / 16

LCM(496,9904) = 307024

∴ Least Common Multiple of 496,9904 is 307024

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 496, 9904

1. What is the LCM of 496, 9904?

Answer: LCM of 496, 9904 is 307024.

2. What are the Factors of 307024?

Answer: Factors of 307024 are . There are integers that are factors of 307024

3. How to Find the LCM of 496, 9904 ?

Least Common Multiple of 496, 9904.

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, 9904) = 2 x 2 x 2 x 2 x 31 x 619 = 307024.