Least Common Multiple of 2162/132, 8978/4941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2162/132, 8978/4941 quickly i.e. 9705218/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2162/132, 8978/4941 is 9705218/3.

LCM(2162/132, 8978/4941) = 9705218/3

LCM of 2162/132, 8978/4941

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 2162/132,8978/4941

Given numbers are 2162/132,8978/4941

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 2162,8978

Least Common Multiple of Numerators i.e. LCM of 2162,8978 is 9705218.

GCF of Denominators means GCF of 132,4941 as per the given fractions.

GCF of 132,4941 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2162,8978

LCM of Fractions 2162/132,8978/4941 is 9705218/3

2 2162, 8978
1081, 4489

∴ So the LCM of the given numbers is 2 x 1081 x 4489 = 9705218

Least Common Multiple of 2162,8978 with GCF Formula

Least Common Multiple of 2162,8978 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 2162,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2162,8978) = 2

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

GCF(2162,8978) x common factors =2 x 1 = 2

LCM(2162,8978) = ( 2162 × 8978 ) / 2

LCM(2162,8978) = 19410436 / 2

LCM(2162,8978) = 9705218


Lets's calculate GCF of 132,4941

3 132, 4941
44, 1647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9705218/3

Therefore the LCM of Fractions 2162/132,8978/4941 is 9705218/3

Greatest Common Factor of 132,4941 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,4941 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Greatest Common Factor

We found the factors 132,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 132,4941 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 2162/132, 8978/4941

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 2162/132, 8978/4941?

Answer: LCM of Numerators as per given numbers 2162/132, 8978/4941 is

LCM of Numerators i.e. for 2162,8978 is 9705218

GCF of denominators i.e. for 132,4941 is 3.

Thus, LCM of Fractions is 9705218/3.Finally, LCM of Fractions for 2162/132, 8978/4941 is 9705218/3.