Least Common Multiple of 96/735, 8174/6516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/735, 8174/6516 quickly i.e. 130784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/735, 8174/6516 is 130784.

LCM(96/735, 8174/6516) = 130784

LCM of 96/735, 8174/6516

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 96/735,8174/6516

Given numbers are 96/735,8174/6516

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 96,8174

Least Common Multiple of Numerators i.e. LCM of 96,8174 is 392352.

GCF of Denominators means GCF of 735,6516 as per the given fractions.

GCF of 735,6516 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,8174

LCM of Fractions 96/735,8174/6516 is 130784

2 96, 8174
48, 4087

∴ So the LCM of the given numbers is 2 x 48 x 4087 = 392352

Least Common Multiple of 96,8174 with GCF Formula

Least Common Multiple of 96,8174 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 96,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,8174) = 2

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

GCF(96,8174) x common factors =2 x 1 = 2

LCM(96,8174) = ( 96 × 8174 ) / 2

LCM(96,8174) = 784704 / 2

LCM(96,8174) = 392352


Lets's calculate GCF of 735,6516

3 735, 6516
245, 2172

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392352/3

Therefore the LCM of Fractions 96/735,8174/6516 is 130784

Greatest Common Factor of 735,6516 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,6516 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Greatest Common Factor

We found the factors 735,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 735,6516 is 3.


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 96/735, 8174/6516

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 96/735, 8174/6516?

Answer: LCM of Numerators as per given numbers 96/735, 8174/6516 is

LCM of Numerators i.e. for 96,8174 is 392352

GCF of denominators i.e. for 735,6516 is 3.

Thus, LCM of Fractions is 130784.Finally, LCM of Fractions for 96/735, 8174/6516 is 130784.