Least Common Multiple of 83/21, 365/58, 131/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/21, 365/58, 131/479 quickly i.e. 3968645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/21, 365/58, 131/479 is 3968645.

LCM(83/21, 365/58, 131/479) = 3968645

LCM of 83/21, 365/58, 131/479

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 83/21,365/58,131/479

Given numbers are 83/21,365/58,131/479

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 83,365,131

Least Common Multiple of Numerators i.e. LCM of 83,365,131 is 3968645.

GCF of Denominators means GCF of 21,58,479 as per the given fractions.

GCF of 21,58,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,365,131

LCM of Fractions 83/21,365/58,131/479 is 3968645

Given numbers has no common factors except 1. So, there LCM is their product i.e 3968645

Least Common Multiple of 83,365,131 with GCF Formula

Least Common Multiple of 83,365,131 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 83,365,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,365,131) = 1

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

GCF(83,365,131) x common factors =1 x 1 = 1

LCM(83,365,131) = ( 83 × 365 × 131 ) / 1

LCM(83,365,131) = 3968645 / 1

LCM(83,365,131) = 3968645


Lets's calculate GCF of 21,58,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3968645/1

Therefore the LCM of Fractions 83/21,365/58,131/479 is 3968645

Greatest Common Factor of 21,58,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,58,479 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 21,58,479 . The biggest common factor number is the GCF number.
So the greatest common factor 21,58,479 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 83/21, 365/58, 131/479

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 83/21, 365/58, 131/479?

Answer: LCM of Numerators as per given numbers 83/21, 365/58, 131/479 is

LCM of Numerators i.e. for 83,365,131 is 3968645

GCF of denominators i.e. for 21,58,479 is 1.

Thus, LCM of Fractions is 3968645.Finally, LCM of Fractions for 83/21, 365/58, 131/479 is 3968645.