Least Common Multiple of 5123/116, 5361/4207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5123/116, 5361/4207 quickly i.e. 27464403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5123/116, 5361/4207 is 27464403.

LCM(5123/116, 5361/4207) = 27464403

LCM of 5123/116, 5361/4207

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 5123/116,5361/4207

Given numbers are 5123/116,5361/4207

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 5123,5361

Least Common Multiple of Numerators i.e. LCM of 5123,5361 is 27464403.

GCF of Denominators means GCF of 116,4207 as per the given fractions.

GCF of 116,4207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5123,5361

LCM of Fractions 5123/116,5361/4207 is 27464403

Given numbers has no common factors except 1. So, there LCM is their product i.e 27464403

Least Common Multiple of 5123,5361 with GCF Formula

Least Common Multiple of 5123,5361 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 5123,5361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5123,5361) = 1

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

GCF(5123,5361) x common factors =1 x 1 = 1

LCM(5123,5361) = ( 5123 × 5361 ) / 1

LCM(5123,5361) = 27464403 / 1

LCM(5123,5361) = 27464403


Lets's calculate GCF of 116,4207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27464403/1

Therefore the LCM of Fractions 5123/116,5361/4207 is 27464403

Greatest Common Factor of 116,4207 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,4207 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1,7,601,4207

Greatest Common Factor

We found the factors 116,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 116,4207 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 5123/116, 5361/4207

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 5123/116, 5361/4207?

Answer: LCM of Numerators as per given numbers 5123/116, 5361/4207 is

LCM of Numerators i.e. for 5123,5361 is 27464403

GCF of denominators i.e. for 116,4207 is 1.

Thus, LCM of Fractions is 27464403.Finally, LCM of Fractions for 5123/116, 5361/4207 is 27464403.