Least Common Multiple of 4089/84, 2538/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4089/84, 2538/220 quickly i.e. 73602/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4089/84, 2538/220 is 73602/4.

LCM(4089/84, 2538/220) = 73602/4

LCM of 4089/84, 2538/220

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 4089/84,2538/220

Given numbers are 4089/84,2538/220

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 4089,2538

Least Common Multiple of Numerators i.e. LCM of 4089,2538 is 73602.

GCF of Denominators means GCF of 84,220 as per the given fractions.

GCF of 84,220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4089,2538

LCM of Fractions 4089/84,2538/220 is 73602/4

3 4089, 2538
47 1363, 846
29, 18

∴ So the LCM of the given numbers is 3 x 47 x 29 x 18 = 73602

Least Common Multiple of 4089,2538 with GCF Formula

Least Common Multiple of 4089,2538 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 4089,2538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4089,2538) = 141

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

GCF(4089,2538) x common factors =141 x 1 = 141

LCM(4089,2538) = ( 4089 × 2538 ) / 141

LCM(4089,2538) = 10377882 / 141

LCM(4089,2538) = 73602


Lets's calculate GCF of 84,220

2 84, 220
2 42, 110
21, 55

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73602/4

Therefore the LCM of Fractions 4089/84,2538/220 is 73602/4

Greatest Common Factor of 84,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,220 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 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 84,220 . The biggest common factor number is the GCF number.
So the greatest common factor 84,220 is 4.


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 4089/84, 2538/220

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 4089/84, 2538/220?

Answer: LCM of Numerators as per given numbers 4089/84, 2538/220 is

LCM of Numerators i.e. for 4089,2538 is 73602

GCF of denominators i.e. for 84,220 is 4.

Thus, LCM of Fractions is 73602/4.Finally, LCM of Fractions for 4089/84, 2538/220 is 73602/4.