Least Common Multiple of 396/117, 716/434, 731/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/117, 716/434, 731/524 quickly i.e. 51816204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/117, 716/434, 731/524 is 51816204.

LCM(396/117, 716/434, 731/524) = 51816204

LCM of 396/117, 716/434, 731/524

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 396/117,716/434,731/524

Given numbers are 396/117,716/434,731/524

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 396,716,731

Least Common Multiple of Numerators i.e. LCM of 396,716,731 is 51816204.

GCF of Denominators means GCF of 117,434,524 as per the given fractions.

GCF of 117,434,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,716,731

LCM of Fractions 396/117,716/434,731/524 is 51816204

2 396, 716, 731
2 198, 358, 731
99, 179, 731

∴ So the LCM of the given numbers is 2 x 2 x 99 x 179 x 731 = 51816204

Least Common Multiple of 396,716,731 with GCF Formula

Least Common Multiple of 396,716,731 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 396,716,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,716,731) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(396,716,731) x common factors =1 x 4 = 4

LCM(396,716,731) = ( 396 × 716 × 731 ) / 4

LCM(396,716,731) = 207264816 / 4

LCM(396,716,731) = 51816204


Lets's calculate GCF of 117,434,524

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51816204/1

Therefore the LCM of Fractions 396/117,716/434,731/524 is 51816204

Greatest Common Factor of 117,434,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,434,524 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 117,434,524 . The biggest common factor number is the GCF number.
So the greatest common factor 117,434,524 is 1.


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 396/117, 716/434, 731/524

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 396/117, 716/434, 731/524?

Answer: LCM of Numerators as per given numbers 396/117, 716/434, 731/524 is

LCM of Numerators i.e. for 396,716,731 is 51816204

GCF of denominators i.e. for 117,434,524 is 1.

Thus, LCM of Fractions is 51816204.Finally, LCM of Fractions for 396/117, 716/434, 731/524 is 51816204.