Least Common Multiple of 216/116, 5286/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/116, 5286/566 quickly i.e. 95148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/116, 5286/566 is 95148.

LCM(216/116, 5286/566) = 95148

LCM of 216/116, 5286/566

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 216/116,5286/566

Given numbers are 216/116,5286/566

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 216,5286

Least Common Multiple of Numerators i.e. LCM of 216,5286 is 190296.

GCF of Denominators means GCF of 116,566 as per the given fractions.

GCF of 116,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,5286

LCM of Fractions 216/116,5286/566 is 95148

2 216, 5286
3 108, 2643
36, 881

∴ So the LCM of the given numbers is 2 x 3 x 36 x 881 = 190296

Least Common Multiple of 216,5286 with GCF Formula

Least Common Multiple of 216,5286 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 216,5286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,5286) = 6

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

GCF(216,5286) x common factors =6 x 1 = 6

LCM(216,5286) = ( 216 × 5286 ) / 6

LCM(216,5286) = 1141776 / 6

LCM(216,5286) = 190296


Lets's calculate GCF of 116,566

2 116, 566
58, 283

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190296/2

Therefore the LCM of Fractions 216/116,5286/566 is 95148

Greatest Common Factor of 116,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,566 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 116,566 . The biggest common factor number is the GCF number.
So the greatest common factor 116,566 is 2.


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 216/116, 5286/566

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 216/116, 5286/566?

Answer: LCM of Numerators as per given numbers 216/116, 5286/566 is

LCM of Numerators i.e. for 216,5286 is 190296

GCF of denominators i.e. for 116,566 is 2.

Thus, LCM of Fractions is 95148.Finally, LCM of Fractions for 216/116, 5286/566 is 95148.