Least Common Multiple of 72/114, 8210/7644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/114, 8210/7644 quickly i.e. 49260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/114, 8210/7644 is 49260.

LCM(72/114, 8210/7644) = 49260

LCM of 72/114, 8210/7644

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 72/114,8210/7644

Given numbers are 72/114,8210/7644

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 72,8210

Least Common Multiple of Numerators i.e. LCM of 72,8210 is 295560.

GCF of Denominators means GCF of 114,7644 as per the given fractions.

GCF of 114,7644 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,8210

LCM of Fractions 72/114,8210/7644 is 49260

2 72, 8210
36, 4105

∴ So the LCM of the given numbers is 2 x 36 x 4105 = 295560

Least Common Multiple of 72,8210 with GCF Formula

Least Common Multiple of 72,8210 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 72,8210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,8210) = 2

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

GCF(72,8210) x common factors =2 x 1 = 2

LCM(72,8210) = ( 72 × 8210 ) / 2

LCM(72,8210) = 591120 / 2

LCM(72,8210) = 295560


Lets's calculate GCF of 114,7644

2 114, 7644
3 57, 3822
19, 1274

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295560/6

Therefore the LCM of Fractions 72/114,8210/7644 is 49260

Greatest Common Factor of 114,7644 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,7644 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Greatest Common Factor

We found the factors 114,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 114,7644 is 6.


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 72/114, 8210/7644

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 72/114, 8210/7644?

Answer: LCM of Numerators as per given numbers 72/114, 8210/7644 is

LCM of Numerators i.e. for 72,8210 is 295560

GCF of denominators i.e. for 114,7644 is 6.

Thus, LCM of Fractions is 49260.Finally, LCM of Fractions for 72/114, 8210/7644 is 49260.