Least Common Multiple of 108/731, 8716/6854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/731, 8716/6854 quickly i.e. 235332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/731, 8716/6854 is 235332.

LCM(108/731, 8716/6854) = 235332

LCM of 108/731, 8716/6854

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 108/731,8716/6854

Given numbers are 108/731,8716/6854

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 108,8716

Least Common Multiple of Numerators i.e. LCM of 108,8716 is 235332.

GCF of Denominators means GCF of 731,6854 as per the given fractions.

GCF of 731,6854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,8716

LCM of Fractions 108/731,8716/6854 is 235332

2 108, 8716
2 54, 4358
27, 2179

∴ So the LCM of the given numbers is 2 x 2 x 27 x 2179 = 235332

Least Common Multiple of 108,8716 with GCF Formula

Least Common Multiple of 108,8716 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 108,8716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,8716) = 4

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

GCF(108,8716) x common factors =4 x 1 = 4

LCM(108,8716) = ( 108 × 8716 ) / 4

LCM(108,8716) = 941328 / 4

LCM(108,8716) = 235332


Lets's calculate GCF of 731,6854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235332/1

Therefore the LCM of Fractions 108/731,8716/6854 is 235332

Greatest Common Factor of 731,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,6854 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 731,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 731,6854 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 108/731, 8716/6854

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 108/731, 8716/6854?

Answer: LCM of Numerators as per given numbers 108/731, 8716/6854 is

LCM of Numerators i.e. for 108,8716 is 235332

GCF of denominators i.e. for 731,6854 is 1.

Thus, LCM of Fractions is 235332.Finally, LCM of Fractions for 108/731, 8716/6854 is 235332.