Least Common Multiple of 216/268, 8246/5409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/268, 8246/5409 quickly i.e. 890568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/268, 8246/5409 is 890568.

LCM(216/268, 8246/5409) = 890568

LCM of 216/268, 8246/5409

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 216/268,8246/5409

Given numbers are 216/268,8246/5409

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 216,8246

Least Common Multiple of Numerators i.e. LCM of 216,8246 is 890568.

GCF of Denominators means GCF of 268,5409 as per the given fractions.

GCF of 268,5409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,8246

LCM of Fractions 216/268,8246/5409 is 890568

2 216, 8246
108, 4123

∴ So the LCM of the given numbers is 2 x 108 x 4123 = 890568

Least Common Multiple of 216,8246 with GCF Formula

Least Common Multiple of 216,8246 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 216,8246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,8246) = 2

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

GCF(216,8246) x common factors =2 x 1 = 2

LCM(216,8246) = ( 216 × 8246 ) / 2

LCM(216,8246) = 1781136 / 2

LCM(216,8246) = 890568


Lets's calculate GCF of 268,5409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 890568/1

Therefore the LCM of Fractions 216/268,8246/5409 is 890568

Greatest Common Factor of 268,5409 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,5409 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors 268,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 268,5409 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 216/268, 8246/5409

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 216/268, 8246/5409?

Answer: LCM of Numerators as per given numbers 216/268, 8246/5409 is

LCM of Numerators i.e. for 216,8246 is 890568

GCF of denominators i.e. for 268,5409 is 1.

Thus, LCM of Fractions is 890568.Finally, LCM of Fractions for 216/268, 8246/5409 is 890568.