Least Common Multiple of 77, 56, 96, 404

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 77, 56, 96, 404 i.e. 746592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 77, 56, 96, 404 is 746592.

LCM(77, 56, 96, 404) = 746592

LCM of 77, 56, 96, 404

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

LCM of:

Least Common Multiple of 77,56,96,404

Least Common Multiple (LCM) of 77,56,96,404 is 746592

2 77, 56, 96, 404
2 77, 28, 48, 202
2 77, 14, 24, 101
7 77, 7, 12, 101
11, 1, 12, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 1 x 12 x 101 = 746592

Least Common Multiple of 77,56,96,404 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 77,56,96,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,56,96,404) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(77,56,96,404) x common factors =1 x 224 = 224

LCM(77,56,96,404) = ( 77 × 56 × 96 × 404 ) / 224

LCM(77,56,96,404) = 167236608 / 224

LCM(77,56,96,404) = 746592

∴ Least Common Multiple of 77,56,96,404 is 746592

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 77, 56, 96, 404

1. What is the LCM of 77, 56, 96, 404?

Answer: LCM of 77, 56, 96, 404 is 746592.

2. What are the Factors of 746592?

Answer: Factors of 746592 are . There are integers that are factors of 746592

3. How to Find the LCM of 77, 56, 96, 404 ?

Least Common Multiple of 77, 56, 96, 404.

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(77, 56, 96, 404) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 101 = 746592.