Least Common Multiple of 981/85, 221/28, 138/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 981/85, 221/28, 138/302 quickly i.e. 9972846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 981/85, 221/28, 138/302 is 9972846.

LCM(981/85, 221/28, 138/302) = 9972846

LCM of 981/85, 221/28, 138/302

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 981/85,221/28,138/302

Given numbers are 981/85,221/28,138/302

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 981,221,138

Least Common Multiple of Numerators i.e. LCM of 981,221,138 is 9972846.

GCF of Denominators means GCF of 85,28,302 as per the given fractions.

GCF of 85,28,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 981,221,138

LCM of Fractions 981/85,221/28,138/302 is 9972846

3 981, 221, 138
327, 221, 46

∴ So the LCM of the given numbers is 3 x 327 x 221 x 46 = 9972846

Least Common Multiple of 981,221,138 with GCF Formula

Least Common Multiple of 981,221,138 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 981,221,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,221,138) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(981,221,138) x common factors =1 x 3 = 3

LCM(981,221,138) = ( 981 × 221 × 138 ) / 3

LCM(981,221,138) = 29918538 / 3

LCM(981,221,138) = 9972846


Lets's calculate GCF of 85,28,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9972846/1

Therefore the LCM of Fractions 981/85,221/28,138/302 is 9972846

Greatest Common Factor of 85,28,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,28,302 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 85,28,302 . The biggest common factor number is the GCF number.
So the greatest common factor 85,28,302 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 981/85, 221/28, 138/302

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 981/85, 221/28, 138/302?

Answer: LCM of Numerators as per given numbers 981/85, 221/28, 138/302 is

LCM of Numerators i.e. for 981,221,138 is 9972846

GCF of denominators i.e. for 85,28,302 is 1.

Thus, LCM of Fractions is 9972846.Finally, LCM of Fractions for 981/85, 221/28, 138/302 is 9972846.