Least Common Multiple of 291/72, 3029/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/72, 3029/156 quickly i.e. 881439/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/72, 3029/156 is 881439/12.

LCM(291/72, 3029/156) = 881439/12

LCM of 291/72, 3029/156

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 291/72,3029/156

Given numbers are 291/72,3029/156

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 291,3029

Least Common Multiple of Numerators i.e. LCM of 291,3029 is 881439.

GCF of Denominators means GCF of 72,156 as per the given fractions.

GCF of 72,156 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,3029

LCM of Fractions 291/72,3029/156 is 881439/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 881439

Least Common Multiple of 291,3029 with GCF Formula

Least Common Multiple of 291,3029 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 291,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,3029) = 1

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

GCF(291,3029) x common factors =1 x 1 = 1

LCM(291,3029) = ( 291 × 3029 ) / 1

LCM(291,3029) = 881439 / 1

LCM(291,3029) = 881439


Lets's calculate GCF of 72,156

2 72, 156
2 36, 78
3 18, 39
6, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 881439/12

Therefore the LCM of Fractions 291/72,3029/156 is 881439/12

Greatest Common Factor of 72,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,156 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 72,156 . The biggest common factor number is the GCF number.
So the greatest common factor 72,156 is 12.


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 291/72, 3029/156

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 291/72, 3029/156?

Answer: LCM of Numerators as per given numbers 291/72, 3029/156 is

LCM of Numerators i.e. for 291,3029 is 881439

GCF of denominators i.e. for 72,156 is 12.

Thus, LCM of Fractions is 881439/12.Finally, LCM of Fractions for 291/72, 3029/156 is 881439/12.