Least Common Multiple of 1217/572, 7133/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1217/572, 7133/331 quickly i.e. 8680861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1217/572, 7133/331 is 8680861.

LCM(1217/572, 7133/331) = 8680861

LCM of 1217/572, 7133/331

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 1217/572,7133/331

Given numbers are 1217/572,7133/331

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 1217,7133

Least Common Multiple of Numerators i.e. LCM of 1217,7133 is 8680861.

GCF of Denominators means GCF of 572,331 as per the given fractions.

GCF of 572,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1217,7133

LCM of Fractions 1217/572,7133/331 is 8680861

Given numbers has no common factors except 1. So, there LCM is their product i.e 8680861

Least Common Multiple of 1217,7133 with GCF Formula

Least Common Multiple of 1217,7133 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 1217,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1217,7133) = 1

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

GCF(1217,7133) x common factors =1 x 1 = 1

LCM(1217,7133) = ( 1217 × 7133 ) / 1

LCM(1217,7133) = 8680861 / 1

LCM(1217,7133) = 8680861


Lets's calculate GCF of 572,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8680861/1

Therefore the LCM of Fractions 1217/572,7133/331 is 8680861

Greatest Common Factor of 572,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,331 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 572,331 . The biggest common factor number is the GCF number.
So the greatest common factor 572,331 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 1217/572, 7133/331

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 1217/572, 7133/331?

Answer: LCM of Numerators as per given numbers 1217/572, 7133/331 is

LCM of Numerators i.e. for 1217,7133 is 8680861

GCF of denominators i.e. for 572,331 is 1.

Thus, LCM of Fractions is 8680861.Finally, LCM of Fractions for 1217/572, 7133/331 is 8680861.