Least Common Multiple of 746, 828, 138

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 746, 828, 138 i.e. 308844 smallest integer divisible by all numbers.

Least common multiple (LCM) of 746, 828, 138 is 308844.

LCM(746, 828, 138) = 308844

LCM of 746, 828, 138

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

LCM of:

Least Common Multiple of 746,828,138

Least Common Multiple (LCM) of 746,828,138 is 308844

2 746, 828, 138
3 373, 414, 69
23 373, 138, 23
373, 6, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 373 x 6 x 1 = 308844

Least Common Multiple of 746,828,138 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 746,828,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,828,138) = 2

common factors(in case of two or more numbers have common factors) = 138

GCF(746,828,138) x common factors =2 x 138 = 276

LCM(746,828,138) = ( 746 × 828 × 138 ) / 276

LCM(746,828,138) = 85240944 / 276

LCM(746,828,138) = 308844

∴ Least Common Multiple of 746,828,138 is 308844

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 746, 828, 138

1. What is the LCM of 746, 828, 138?

Answer: LCM of 746, 828, 138 is 308844.

2. What are the Factors of 308844?

Answer: Factors of 308844 are . There are integers that are factors of 308844

3. How to Find the LCM of 746, 828, 138 ?

Least Common Multiple of 746, 828, 138.

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(746, 828, 138) = 2 x 2 x 3 x 3 x 23 x 373 = 308844.