Least Common Multiple of 271/121, 8916/7080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/121, 8916/7080 quickly i.e. 2416236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/121, 8916/7080 is 2416236.

LCM(271/121, 8916/7080) = 2416236

LCM of 271/121, 8916/7080

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 271/121,8916/7080

Given numbers are 271/121,8916/7080

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 271,8916

Least Common Multiple of Numerators i.e. LCM of 271,8916 is 2416236.

GCF of Denominators means GCF of 121,7080 as per the given fractions.

GCF of 121,7080 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,8916

LCM of Fractions 271/121,8916/7080 is 2416236

Given numbers has no common factors except 1. So, there LCM is their product i.e 2416236

Least Common Multiple of 271,8916 with GCF Formula

Least Common Multiple of 271,8916 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 271,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,8916) = 1

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

GCF(271,8916) x common factors =1 x 1 = 1

LCM(271,8916) = ( 271 × 8916 ) / 1

LCM(271,8916) = 2416236 / 1

LCM(271,8916) = 2416236


Lets's calculate GCF of 121,7080

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2416236/1

Therefore the LCM of Fractions 271/121,8916/7080 is 2416236

Greatest Common Factor of 121,7080 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,7080 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Greatest Common Factor

We found the factors 121,7080 . The biggest common factor number is the GCF number.
So the greatest common factor 121,7080 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 271/121, 8916/7080

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 271/121, 8916/7080?

Answer: LCM of Numerators as per given numbers 271/121, 8916/7080 is

LCM of Numerators i.e. for 271,8916 is 2416236

GCF of denominators i.e. for 121,7080 is 1.

Thus, LCM of Fractions is 2416236.Finally, LCM of Fractions for 271/121, 8916/7080 is 2416236.