Least Common Multiple of 12/291, 69/738, 344/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/291, 69/738, 344/656 quickly i.e. 23736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/291, 69/738, 344/656 is 23736.

LCM(12/291, 69/738, 344/656) = 23736

LCM of 12/291, 69/738, 344/656

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 12/291,69/738,344/656

Given numbers are 12/291,69/738,344/656

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 12,69,344

Least Common Multiple of Numerators i.e. LCM of 12,69,344 is 23736.

GCF of Denominators means GCF of 291,738,656 as per the given fractions.

GCF of 291,738,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,69,344

LCM of Fractions 12/291,69/738,344/656 is 23736

2 12, 69, 344
2 6, 69, 172
3 3, 69, 86
1, 23, 86

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 23 x 86 = 23736

Least Common Multiple of 12,69,344 with GCF Formula

Least Common Multiple of 12,69,344 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 12,69,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,69,344) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,69,344) x common factors =1 x 12 = 12

LCM(12,69,344) = ( 12 × 69 × 344 ) / 12

LCM(12,69,344) = 284832 / 12

LCM(12,69,344) = 23736


Lets's calculate GCF of 291,738,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23736/1

Therefore the LCM of Fractions 12/291,69/738,344/656 is 23736

Greatest Common Factor of 291,738,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,738,656 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 291,738,656 . The biggest common factor number is the GCF number.
So the greatest common factor 291,738,656 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 12/291, 69/738, 344/656

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 12/291, 69/738, 344/656?

Answer: LCM of Numerators as per given numbers 12/291, 69/738, 344/656 is

LCM of Numerators i.e. for 12,69,344 is 23736

GCF of denominators i.e. for 291,738,656 is 1.

Thus, LCM of Fractions is 23736.Finally, LCM of Fractions for 12/291, 69/738, 344/656 is 23736.