Least Common Multiple of 4884/180, 7128/8413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4884/180, 7128/8413 quickly i.e. 263736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4884/180, 7128/8413 is 263736.

LCM(4884/180, 7128/8413) = 263736

LCM of 4884/180, 7128/8413

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 4884/180,7128/8413

Given numbers are 4884/180,7128/8413

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 4884,7128

Least Common Multiple of Numerators i.e. LCM of 4884,7128 is 263736.

GCF of Denominators means GCF of 180,8413 as per the given fractions.

GCF of 180,8413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4884,7128

LCM of Fractions 4884/180,7128/8413 is 263736

2 4884, 7128
2 2442, 3564
3 1221, 1782
11 407, 594
37, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 37 x 54 = 263736

Least Common Multiple of 4884,7128 with GCF Formula

Least Common Multiple of 4884,7128 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 4884,7128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4884,7128) = 132

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

GCF(4884,7128) x common factors =132 x 1 = 132

LCM(4884,7128) = ( 4884 × 7128 ) / 132

LCM(4884,7128) = 34813152 / 132

LCM(4884,7128) = 263736


Lets's calculate GCF of 180,8413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263736/1

Therefore the LCM of Fractions 4884/180,7128/8413 is 263736

Greatest Common Factor of 180,8413 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,8413 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors 180,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 180,8413 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 4884/180, 7128/8413

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 4884/180, 7128/8413?

Answer: LCM of Numerators as per given numbers 4884/180, 7128/8413 is

LCM of Numerators i.e. for 4884,7128 is 263736

GCF of denominators i.e. for 180,8413 is 1.

Thus, LCM of Fractions is 263736.Finally, LCM of Fractions for 4884/180, 7128/8413 is 263736.