Least Common Multiple of 75/780, 1243/1363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/780, 1243/1363 quickly i.e. 93225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/780, 1243/1363 is 93225.

LCM(75/780, 1243/1363) = 93225

LCM of 75/780, 1243/1363

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 75/780,1243/1363

Given numbers are 75/780,1243/1363

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 75,1243

Least Common Multiple of Numerators i.e. LCM of 75,1243 is 93225.

GCF of Denominators means GCF of 780,1363 as per the given fractions.

GCF of 780,1363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,1243

LCM of Fractions 75/780,1243/1363 is 93225

Given numbers has no common factors except 1. So, there LCM is their product i.e 93225

Least Common Multiple of 75,1243 with GCF Formula

Least Common Multiple of 75,1243 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 75,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,1243) = 1

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

GCF(75,1243) x common factors =1 x 1 = 1

LCM(75,1243) = ( 75 × 1243 ) / 1

LCM(75,1243) = 93225 / 1

LCM(75,1243) = 93225


Lets's calculate GCF of 780,1363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93225/1

Therefore the LCM of Fractions 75/780,1243/1363 is 93225

Greatest Common Factor of 780,1363 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,1363 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 1363

List of positive integer factors of 1363 that divides 1363 without a remainder.

1,29,47,1363

Greatest Common Factor

We found the factors 780,1363 . The biggest common factor number is the GCF number.
So the greatest common factor 780,1363 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 75/780, 1243/1363

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 75/780, 1243/1363?

Answer: LCM of Numerators as per given numbers 75/780, 1243/1363 is

LCM of Numerators i.e. for 75,1243 is 93225

GCF of denominators i.e. for 780,1363 is 1.

Thus, LCM of Fractions is 93225.Finally, LCM of Fractions for 75/780, 1243/1363 is 93225.