Least Common Multiple of 36/780, 7294/3145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/780, 7294/3145 quickly i.e. 131292/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/780, 7294/3145 is 131292/5.

LCM(36/780, 7294/3145) = 131292/5

LCM of 36/780, 7294/3145

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 36/780,7294/3145

Given numbers are 36/780,7294/3145

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 36,7294

Least Common Multiple of Numerators i.e. LCM of 36,7294 is 131292.

GCF of Denominators means GCF of 780,3145 as per the given fractions.

GCF of 780,3145 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,7294

LCM of Fractions 36/780,7294/3145 is 131292/5

2 36, 7294
18, 3647

∴ So the LCM of the given numbers is 2 x 18 x 3647 = 131292

Least Common Multiple of 36,7294 with GCF Formula

Least Common Multiple of 36,7294 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 36,7294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,7294) = 2

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

GCF(36,7294) x common factors =2 x 1 = 2

LCM(36,7294) = ( 36 × 7294 ) / 2

LCM(36,7294) = 262584 / 2

LCM(36,7294) = 131292


Lets's calculate GCF of 780,3145

5 780, 3145
156, 629

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131292/5

Therefore the LCM of Fractions 36/780,7294/3145 is 131292/5

Greatest Common Factor of 780,3145 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,3145 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 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1,5,17,37,85,185,629,3145

Greatest Common Factor

We found the factors 780,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 780,3145 is 5.


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 36/780, 7294/3145

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 36/780, 7294/3145?

Answer: LCM of Numerators as per given numbers 36/780, 7294/3145 is

LCM of Numerators i.e. for 36,7294 is 131292

GCF of denominators i.e. for 780,3145 is 5.

Thus, LCM of Fractions is 131292/5.Finally, LCM of Fractions for 36/780, 7294/3145 is 131292/5.