Least Common Multiple of 91/202, 20/176, 218/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/202, 20/176, 218/854 quickly i.e. 99190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/202, 20/176, 218/854 is 99190.

LCM(91/202, 20/176, 218/854) = 99190

LCM of 91/202, 20/176, 218/854

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 91/202,20/176,218/854

Given numbers are 91/202,20/176,218/854

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 91,20,218

Least Common Multiple of Numerators i.e. LCM of 91,20,218 is 198380.

GCF of Denominators means GCF of 202,176,854 as per the given fractions.

GCF of 202,176,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,20,218

LCM of Fractions 91/202,20/176,218/854 is 99190

2 91, 20, 218
91, 10, 109

∴ So the LCM of the given numbers is 2 x 91 x 10 x 109 = 198380

Least Common Multiple of 91,20,218 with GCF Formula

Least Common Multiple of 91,20,218 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 91,20,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,20,218) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,20,218) x common factors =1 x 2 = 2

LCM(91,20,218) = ( 91 × 20 × 218 ) / 2

LCM(91,20,218) = 396760 / 2

LCM(91,20,218) = 198380


Lets's calculate GCF of 202,176,854

2 202, 176, 854
101, 88, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198380/2

Therefore the LCM of Fractions 91/202,20/176,218/854 is 99190

Greatest Common Factor of 202,176,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,176,854 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 202,176,854 . The biggest common factor number is the GCF number.
So the greatest common factor 202,176,854 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 91/202, 20/176, 218/854

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 91/202, 20/176, 218/854?

Answer: LCM of Numerators as per given numbers 91/202, 20/176, 218/854 is

LCM of Numerators i.e. for 91,20,218 is 198380

GCF of denominators i.e. for 202,176,854 is 2.

Thus, LCM of Fractions is 99190.Finally, LCM of Fractions for 91/202, 20/176, 218/854 is 99190.