Least Common Multiple of 243/84, 371/5045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 243/84, 371/5045 quickly i.e. 90153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/84, 371/5045 is 90153.

LCM(243/84, 371/5045) = 90153

LCM of 243/84, 371/5045

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 243/84,371/5045

Given numbers are 243/84,371/5045

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 243,371

Least Common Multiple of Numerators i.e. LCM of 243,371 is 90153.

GCF of Denominators means GCF of 84,5045 as per the given fractions.

GCF of 84,5045 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,371

LCM of Fractions 243/84,371/5045 is 90153

Given numbers has no common factors except 1. So, there LCM is their product i.e 90153

Least Common Multiple of 243,371 with GCF Formula

Least Common Multiple of 243,371 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 243,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,371) = 1

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

GCF(243,371) x common factors =1 x 1 = 1

LCM(243,371) = ( 243 × 371 ) / 1

LCM(243,371) = 90153 / 1

LCM(243,371) = 90153


Lets's calculate GCF of 84,5045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90153/1

Therefore the LCM of Fractions 243/84,371/5045 is 90153

Greatest Common Factor of 84,5045 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5045 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1,5,1009,5045

Greatest Common Factor

We found the factors 84,5045 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5045 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 243/84, 371/5045

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 243/84, 371/5045?

Answer: LCM of Numerators as per given numbers 243/84, 371/5045 is

LCM of Numerators i.e. for 243,371 is 90153

GCF of denominators i.e. for 84,5045 is 1.

Thus, LCM of Fractions is 90153.Finally, LCM of Fractions for 243/84, 371/5045 is 90153.