Least Common Multiple of 240/615, 5443/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/615, 5443/492 quickly i.e. 1306320/123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/615, 5443/492 is 1306320/123.

LCM(240/615, 5443/492) = 1306320/123

LCM of 240/615, 5443/492

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 240/615,5443/492

Given numbers are 240/615,5443/492

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 240,5443

Least Common Multiple of Numerators i.e. LCM of 240,5443 is 1306320.

GCF of Denominators means GCF of 615,492 as per the given fractions.

GCF of 615,492 is 123 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,5443

LCM of Fractions 240/615,5443/492 is 1306320/123

Given numbers has no common factors except 1. So, there LCM is their product i.e 1306320

Least Common Multiple of 240,5443 with GCF Formula

Least Common Multiple of 240,5443 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 240,5443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,5443) = 1

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

GCF(240,5443) x common factors =1 x 1 = 1

LCM(240,5443) = ( 240 × 5443 ) / 1

LCM(240,5443) = 1306320 / 1

LCM(240,5443) = 1306320


Lets's calculate GCF of 615,492

3 615, 492
41 205, 164
5, 4

∴ So the GCF of the given numbers is 3 x 41 = 123

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1306320/123

Therefore the LCM of Fractions 240/615,5443/492 is 1306320/123

Greatest Common Factor of 615,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,492 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 615,492 . The biggest common factor number is the GCF number.
So the greatest common factor 615,492 is 123.


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 240/615, 5443/492

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 240/615, 5443/492?

Answer: LCM of Numerators as per given numbers 240/615, 5443/492 is

LCM of Numerators i.e. for 240,5443 is 1306320

GCF of denominators i.e. for 615,492 is 123.

Thus, LCM of Fractions is 1306320/123.Finally, LCM of Fractions for 240/615, 5443/492 is 1306320/123.