Least Common Multiple of 304, 364, 744, 118

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 304, 364, 744, 118 i.e. 151792368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 304, 364, 744, 118 is 151792368.

LCM(304, 364, 744, 118) = 151792368

LCM of 304, 364, 744, 118

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

LCM of:

Least Common Multiple of 304,364,744,118

Least Common Multiple (LCM) of 304,364,744,118 is 151792368

2 304, 364, 744, 118
2 152, 182, 372, 59
2 76, 91, 186, 59
38, 91, 93, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 91 x 93 x 59 = 151792368

Least Common Multiple of 304,364,744,118 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 304,364,744,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,364,744,118) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(304,364,744,118) x common factors =2 x 32 = 64

LCM(304,364,744,118) = ( 304 × 364 × 744 × 118 ) / 64

LCM(304,364,744,118) = 9714711552 / 64

LCM(304,364,744,118) = 151792368

∴ Least Common Multiple of 304,364,744,118 is 151792368

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 304, 364, 744, 118

1. What is the LCM of 304, 364, 744, 118?

Answer: LCM of 304, 364, 744, 118 is 151792368.

2. What are the Factors of 151792368?

Answer: Factors of 151792368 are . There are integers that are factors of 151792368

3. How to Find the LCM of 304, 364, 744, 118 ?

Least Common Multiple of 304, 364, 744, 118.

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(304, 364, 744, 118) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 19 x 31 x 59 = 151792368.