Least Common Multiple of 8714/573, 7396/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8714/573, 7396/121 quickly i.e. 32224372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8714/573, 7396/121 is 32224372.

LCM(8714/573, 7396/121) = 32224372

LCM of 8714/573, 7396/121

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 8714/573,7396/121

Given numbers are 8714/573,7396/121

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 8714,7396

Least Common Multiple of Numerators i.e. LCM of 8714,7396 is 32224372.

GCF of Denominators means GCF of 573,121 as per the given fractions.

GCF of 573,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8714,7396

LCM of Fractions 8714/573,7396/121 is 32224372

2 8714, 7396
4357, 3698

∴ So the LCM of the given numbers is 2 x 4357 x 3698 = 32224372

Least Common Multiple of 8714,7396 with GCF Formula

Least Common Multiple of 8714,7396 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 8714,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8714,7396) = 2

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

GCF(8714,7396) x common factors =2 x 1 = 2

LCM(8714,7396) = ( 8714 × 7396 ) / 2

LCM(8714,7396) = 64448744 / 2

LCM(8714,7396) = 32224372


Lets's calculate GCF of 573,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32224372/1

Therefore the LCM of Fractions 8714/573,7396/121 is 32224372

Greatest Common Factor of 573,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,121 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 121

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

1,11,121

Greatest Common Factor

We found the factors 573,121 . The biggest common factor number is the GCF number.
So the greatest common factor 573,121 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 8714/573, 7396/121

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 8714/573, 7396/121?

Answer: LCM of Numerators as per given numbers 8714/573, 7396/121 is

LCM of Numerators i.e. for 8714,7396 is 32224372

GCF of denominators i.e. for 573,121 is 1.

Thus, LCM of Fractions is 32224372.Finally, LCM of Fractions for 8714/573, 7396/121 is 32224372.