Least Common Multiple of 8180/184, 9537/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8180/184, 9537/312 quickly i.e. 78012660/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8180/184, 9537/312 is 78012660/8.

LCM(8180/184, 9537/312) = 78012660/8

LCM of 8180/184, 9537/312

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 8180/184,9537/312

Given numbers are 8180/184,9537/312

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 8180,9537

Least Common Multiple of Numerators i.e. LCM of 8180,9537 is 78012660.

GCF of Denominators means GCF of 184,312 as per the given fractions.

GCF of 184,312 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8180,9537

LCM of Fractions 8180/184,9537/312 is 78012660/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 78012660

Least Common Multiple of 8180,9537 with GCF Formula

Least Common Multiple of 8180,9537 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 8180,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8180,9537) = 1

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

GCF(8180,9537) x common factors =1 x 1 = 1

LCM(8180,9537) = ( 8180 × 9537 ) / 1

LCM(8180,9537) = 78012660 / 1

LCM(8180,9537) = 78012660


Lets's calculate GCF of 184,312

2 184, 312
2 92, 156
2 46, 78
23, 39

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78012660/8

Therefore the LCM of Fractions 8180/184,9537/312 is 78012660/8

Greatest Common Factor of 184,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,312 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 184,312 . The biggest common factor number is the GCF number.
So the greatest common factor 184,312 is 8.


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 8180/184, 9537/312

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 8180/184, 9537/312?

Answer: LCM of Numerators as per given numbers 8180/184, 9537/312 is

LCM of Numerators i.e. for 8180,9537 is 78012660

GCF of denominators i.e. for 184,312 is 8.

Thus, LCM of Fractions is 78012660/8.Finally, LCM of Fractions for 8180/184, 9537/312 is 78012660/8.