Least Common Multiple of 40/503, 82/135, 192/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/503, 82/135, 192/359 quickly i.e. 39360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/503, 82/135, 192/359 is 39360.

LCM(40/503, 82/135, 192/359) = 39360

LCM of 40/503, 82/135, 192/359

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 40/503,82/135,192/359

Given numbers are 40/503,82/135,192/359

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 40,82,192

Least Common Multiple of Numerators i.e. LCM of 40,82,192 is 39360.

GCF of Denominators means GCF of 503,135,359 as per the given fractions.

GCF of 503,135,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,82,192

LCM of Fractions 40/503,82/135,192/359 is 39360

2 40, 82, 192
2 20, 41, 96
2 10, 41, 48
5, 41, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 41 x 24 = 39360

Least Common Multiple of 40,82,192 with GCF Formula

Least Common Multiple of 40,82,192 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 40,82,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,82,192) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(40,82,192) x common factors =2 x 8 = 16

LCM(40,82,192) = ( 40 × 82 × 192 ) / 16

LCM(40,82,192) = 629760 / 16

LCM(40,82,192) = 39360


Lets's calculate GCF of 503,135,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39360/1

Therefore the LCM of Fractions 40/503,82/135,192/359 is 39360

Greatest Common Factor of 503,135,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,135,359 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 503,135,359 . The biggest common factor number is the GCF number.
So the greatest common factor 503,135,359 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 40/503, 82/135, 192/359

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 40/503, 82/135, 192/359?

Answer: LCM of Numerators as per given numbers 40/503, 82/135, 192/359 is

LCM of Numerators i.e. for 40,82,192 is 39360

GCF of denominators i.e. for 503,135,359 is 1.

Thus, LCM of Fractions is 39360.Finally, LCM of Fractions for 40/503, 82/135, 192/359 is 39360.