Least Common Multiple of 314, 696

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 314, 696 i.e. 109272 smallest integer divisible by all numbers.

Least common multiple (LCM) of 314, 696 is 109272.

LCM(314, 696) = 109272

LCM of 314, 696

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

LCM of:

Least Common Multiple of 314,696

Least Common Multiple (LCM) of 314,696 is 109272

2 314, 696
157, 348

∴ So the LCM of the given numbers is 2 x 157 x 348 = 109272

Least Common Multiple of 314,696 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 314,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,696) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(314,696) x common factors =2 x 1 = 2

LCM(314,696) = ( 314 × 696 ) / 2

LCM(314,696) = 218544 / 2

LCM(314,696) = 109272

∴ Least Common Multiple of 314,696 is 109272

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 314, 696

1. What is the LCM of 314, 696?

Answer: LCM of 314, 696 is 109272.

2. What are the Factors of 109272?

Answer: Factors of 109272 are . There are integers that are factors of 109272

3. How to Find the LCM of 314, 696 ?

Least Common Multiple of 314, 696.

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(314, 696) = 2 x 2 x 2 x 3 x 29 x 157 = 109272.