Least Common Multiple of 31/84, 69/13, 219/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/84, 69/13, 219/979 quickly i.e. 156147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/84, 69/13, 219/979 is 156147.

LCM(31/84, 69/13, 219/979) = 156147

LCM of 31/84, 69/13, 219/979

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 31/84,69/13,219/979

Given numbers are 31/84,69/13,219/979

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 31,69,219

Least Common Multiple of Numerators i.e. LCM of 31,69,219 is 156147.

GCF of Denominators means GCF of 84,13,979 as per the given fractions.

GCF of 84,13,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,69,219

LCM of Fractions 31/84,69/13,219/979 is 156147

3 31, 69, 219
31, 23, 73

∴ So the LCM of the given numbers is 3 x 31 x 23 x 73 = 156147

Least Common Multiple of 31,69,219 with GCF Formula

Least Common Multiple of 31,69,219 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 31,69,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,69,219) = 1

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

GCF(31,69,219) x common factors =1 x 3 = 3

LCM(31,69,219) = ( 31 × 69 × 219 ) / 3

LCM(31,69,219) = 468441 / 3

LCM(31,69,219) = 156147


Lets's calculate GCF of 84,13,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156147/1

Therefore the LCM of Fractions 31/84,69/13,219/979 is 156147

Greatest Common Factor of 84,13,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,13,979 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 84,13,979 . The biggest common factor number is the GCF number.
So the greatest common factor 84,13,979 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 31/84, 69/13, 219/979

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 31/84, 69/13, 219/979?

Answer: LCM of Numerators as per given numbers 31/84, 69/13, 219/979 is

LCM of Numerators i.e. for 31,69,219 is 156147

GCF of denominators i.e. for 84,13,979 is 1.

Thus, LCM of Fractions is 156147.Finally, LCM of Fractions for 31/84, 69/13, 219/979 is 156147.