Least Common Multiple of 76, 96, 48, 916

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 76, 96, 48, 916 i.e. 417696 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 96, 48, 916 is 417696.

LCM(76, 96, 48, 916) = 417696

LCM of 76, 96, 48, 916

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

LCM of:

Least Common Multiple of 76,96,48,916

Least Common Multiple (LCM) of 76,96,48,916 is 417696

2 76, 96, 48, 916
2 38, 48, 24, 458
2 19, 12, 24, 229
2 19, 6, 12, 229
3 19, 3, 6, 229
19, 1, 2, 229

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 1 x 2 x 229 = 417696

Least Common Multiple of 76,96,48,916 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 76,96,48,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,96,48,916) = 4

common factors(in case of two or more numbers have common factors) = 192

GCF(76,96,48,916) x common factors =4 x 192 = 768

LCM(76,96,48,916) = ( 76 × 96 × 48 × 916 ) / 768

LCM(76,96,48,916) = 320790528 / 768

LCM(76,96,48,916) = 417696

∴ Least Common Multiple of 76,96,48,916 is 417696

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 76, 96, 48, 916

1. What is the LCM of 76, 96, 48, 916?

Answer: LCM of 76, 96, 48, 916 is 417696.

2. What are the Factors of 417696?

Answer: Factors of 417696 are . There are integers that are factors of 417696

3. How to Find the LCM of 76, 96, 48, 916 ?

Least Common Multiple of 76, 96, 48, 916.

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(76, 96, 48, 916) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 229 = 417696.