Least Common Multiple of 291/708, 6909/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/708, 6909/324 quickly i.e. 670173/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/708, 6909/324 is 670173/12.

LCM(291/708, 6909/324) = 670173/12

LCM of 291/708, 6909/324

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 291/708,6909/324

Given numbers are 291/708,6909/324

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 291,6909

Least Common Multiple of Numerators i.e. LCM of 291,6909 is 670173.

GCF of Denominators means GCF of 708,324 as per the given fractions.

GCF of 708,324 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,6909

LCM of Fractions 291/708,6909/324 is 670173/12

3 291, 6909
97, 2303

∴ So the LCM of the given numbers is 3 x 97 x 2303 = 670173

Least Common Multiple of 291,6909 with GCF Formula

Least Common Multiple of 291,6909 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 291,6909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,6909) = 3

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

GCF(291,6909) x common factors =3 x 1 = 3

LCM(291,6909) = ( 291 × 6909 ) / 3

LCM(291,6909) = 2010519 / 3

LCM(291,6909) = 670173


Lets's calculate GCF of 708,324

2 708, 324
2 354, 162
3 177, 81
59, 27

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670173/12

Therefore the LCM of Fractions 291/708,6909/324 is 670173/12

Greatest Common Factor of 708,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,324 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 708,324 . The biggest common factor number is the GCF number.
So the greatest common factor 708,324 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 291/708, 6909/324

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 291/708, 6909/324?

Answer: LCM of Numerators as per given numbers 291/708, 6909/324 is

LCM of Numerators i.e. for 291,6909 is 670173

GCF of denominators i.e. for 708,324 is 12.

Thus, LCM of Fractions is 670173/12.Finally, LCM of Fractions for 291/708, 6909/324 is 670173/12.