Least Common Multiple of 83/15, 40/57, 179/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/15, 40/57, 179/421 quickly i.e. 594280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/15, 40/57, 179/421 is 594280.

LCM(83/15, 40/57, 179/421) = 594280

LCM of 83/15, 40/57, 179/421

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 83/15,40/57,179/421

Given numbers are 83/15,40/57,179/421

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 83,40,179

Least Common Multiple of Numerators i.e. LCM of 83,40,179 is 594280.

GCF of Denominators means GCF of 15,57,421 as per the given fractions.

GCF of 15,57,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,40,179

LCM of Fractions 83/15,40/57,179/421 is 594280

Given numbers has no common factors except 1. So, there LCM is their product i.e 594280

Least Common Multiple of 83,40,179 with GCF Formula

Least Common Multiple of 83,40,179 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 83,40,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,40,179) = 1

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

GCF(83,40,179) x common factors =1 x 1 = 1

LCM(83,40,179) = ( 83 × 40 × 179 ) / 1

LCM(83,40,179) = 594280 / 1

LCM(83,40,179) = 594280


Lets's calculate GCF of 15,57,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594280/1

Therefore the LCM of Fractions 83/15,40/57,179/421 is 594280

Greatest Common Factor of 15,57,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,57,421 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 15,57,421 . The biggest common factor number is the GCF number.
So the greatest common factor 15,57,421 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 83/15, 40/57, 179/421

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 83/15, 40/57, 179/421?

Answer: LCM of Numerators as per given numbers 83/15, 40/57, 179/421 is

LCM of Numerators i.e. for 83,40,179 is 594280

GCF of denominators i.e. for 15,57,421 is 1.

Thus, LCM of Fractions is 594280.Finally, LCM of Fractions for 83/15, 40/57, 179/421 is 594280.