Least Common Multiple of 216/718, 5022/7411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/718, 5022/7411 quickly i.e. 20088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/718, 5022/7411 is 20088.

LCM(216/718, 5022/7411) = 20088

LCM of 216/718, 5022/7411

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 216/718,5022/7411

Given numbers are 216/718,5022/7411

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 216,5022

Least Common Multiple of Numerators i.e. LCM of 216,5022 is 20088.

GCF of Denominators means GCF of 718,7411 as per the given fractions.

GCF of 718,7411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,5022

LCM of Fractions 216/718,5022/7411 is 20088

2 216, 5022
3 108, 2511
3 36, 837
3 12, 279
4, 93

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 4 x 93 = 20088

Least Common Multiple of 216,5022 with GCF Formula

Least Common Multiple of 216,5022 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 216,5022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,5022) = 54

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

GCF(216,5022) x common factors =54 x 1 = 54

LCM(216,5022) = ( 216 × 5022 ) / 54

LCM(216,5022) = 1084752 / 54

LCM(216,5022) = 20088


Lets's calculate GCF of 718,7411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20088/1

Therefore the LCM of Fractions 216/718,5022/7411 is 20088

Greatest Common Factor of 718,7411 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,7411 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1,7411

Greatest Common Factor

We found the factors 718,7411 . The biggest common factor number is the GCF number.
So the greatest common factor 718,7411 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 216/718, 5022/7411

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 216/718, 5022/7411?

Answer: LCM of Numerators as per given numbers 216/718, 5022/7411 is

LCM of Numerators i.e. for 216,5022 is 20088

GCF of denominators i.e. for 718,7411 is 1.

Thus, LCM of Fractions is 20088.Finally, LCM of Fractions for 216/718, 5022/7411 is 20088.