Least Common Multiple of 22, 96, 56, 824

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 22, 96, 56, 824 i.e. 761376 smallest integer divisible by all numbers.

Least common multiple (LCM) of 22, 96, 56, 824 is 761376.

LCM(22, 96, 56, 824) = 761376

LCM of 22, 96, 56, 824

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

LCM of:

Least Common Multiple of 22,96,56,824

Least Common Multiple (LCM) of 22,96,56,824 is 761376

2 22, 96, 56, 824
2 11, 48, 28, 412
2 11, 24, 14, 206
11, 12, 7, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 12 x 7 x 103 = 761376

Least Common Multiple of 22,96,56,824 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 22,96,56,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,96,56,824) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(22,96,56,824) x common factors =2 x 64 = 128

LCM(22,96,56,824) = ( 22 × 96 × 56 × 824 ) / 128

LCM(22,96,56,824) = 97456128 / 128

LCM(22,96,56,824) = 761376

∴ Least Common Multiple of 22,96,56,824 is 761376

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 22, 96, 56, 824

1. What is the LCM of 22, 96, 56, 824?

Answer: LCM of 22, 96, 56, 824 is 761376.

2. What are the Factors of 761376?

Answer: Factors of 761376 are . There are integers that are factors of 761376

3. How to Find the LCM of 22, 96, 56, 824 ?

Least Common Multiple of 22, 96, 56, 824.

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(22, 96, 56, 824) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 103 = 761376.