Least Common Multiple of 96, 77, 74, 74, 748

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 96, 77, 74, 74, 748 i.e. 4649568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 77, 74, 74, 748 is 4649568.

LCM(96, 77, 74, 74, 748) = 4649568

LCM of 96, 77, 74, 74, 748

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

LCM of:

Least Common Multiple of 96,77,74,74,748

Least Common Multiple (LCM) of 96,77,74,74,748 is 4649568

2 96, 77, 74, 74, 748
2 48, 77, 37, 37, 374
11 24, 77, 37, 37, 187
37 24, 7, 37, 37, 17
24, 7, 1, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 37 x 24 x 7 x 1 x 1 x 17 = 4649568

Least Common Multiple of 96,77,74,74,748 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 96,77,74,74,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,77,74,74,748) = 1

common factors(in case of two or more numbers have common factors) = 6512

GCF(96,77,74,74,748) x common factors =1 x 6512 = 6512

LCM(96,77,74,74,748) = ( 96 × 77 × 74 × 74 × 748 ) / 6512

LCM(96,77,74,74,748) = 30277986816 / 6512

LCM(96,77,74,74,748) = 4649568

∴ Least Common Multiple of 96,77,74,74,748 is 4649568

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 96, 77, 74, 74, 748

1. What is the LCM of 96, 77, 74, 74, 748?

Answer: LCM of 96, 77, 74, 74, 748 is 4649568.

2. What are the Factors of 4649568?

Answer: Factors of 4649568 are . There are integers that are factors of 4649568

3. How to Find the LCM of 96, 77, 74, 74, 748 ?

Least Common Multiple of 96, 77, 74, 74, 748.

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(96, 77, 74, 74, 748) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 x 37 = 4649568.