Least Common Multiple of 291/86, 780/14, 156/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/86, 780/14, 156/413 quickly i.e. 75660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/86, 780/14, 156/413 is 75660.

LCM(291/86, 780/14, 156/413) = 75660

LCM of 291/86, 780/14, 156/413

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 291/86,780/14,156/413

Given numbers are 291/86,780/14,156/413

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 291,780,156

Least Common Multiple of Numerators i.e. LCM of 291,780,156 is 75660.

GCF of Denominators means GCF of 86,14,413 as per the given fractions.

GCF of 86,14,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,780,156

LCM of Fractions 291/86,780/14,156/413 is 75660

2 291, 780, 156
2 291, 390, 78
3 291, 195, 39
13 97, 65, 13
97, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 97 x 5 x 1 = 75660

Least Common Multiple of 291,780,156 with GCF Formula

Least Common Multiple of 291,780,156 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 291,780,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,780,156) = 3

common factors(in case of two or more numbers have common factors) = 156

GCF(291,780,156) x common factors =3 x 156 = 468

LCM(291,780,156) = ( 291 × 780 × 156 ) / 468

LCM(291,780,156) = 35408880 / 468

LCM(291,780,156) = 75660


Lets's calculate GCF of 86,14,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75660/1

Therefore the LCM of Fractions 291/86,780/14,156/413 is 75660

Greatest Common Factor of 86,14,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,14,413 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 86,14,413 . The biggest common factor number is the GCF number.
So the greatest common factor 86,14,413 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 291/86, 780/14, 156/413

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 291/86, 780/14, 156/413?

Answer: LCM of Numerators as per given numbers 291/86, 780/14, 156/413 is

LCM of Numerators i.e. for 291,780,156 is 75660

GCF of denominators i.e. for 86,14,413 is 1.

Thus, LCM of Fractions is 75660.Finally, LCM of Fractions for 291/86, 780/14, 156/413 is 75660.