Least Common Multiple of 89/656, 731/242, 380/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/656, 731/242, 380/192 quickly i.e. 12361210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/656, 731/242, 380/192 is 12361210.

LCM(89/656, 731/242, 380/192) = 12361210

LCM of 89/656, 731/242, 380/192

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 89/656,731/242,380/192

Given numbers are 89/656,731/242,380/192

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 89,731,380

Least Common Multiple of Numerators i.e. LCM of 89,731,380 is 24722420.

GCF of Denominators means GCF of 656,242,192 as per the given fractions.

GCF of 656,242,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,731,380

LCM of Fractions 89/656,731/242,380/192 is 12361210

Given numbers has no common factors except 1. So, there LCM is their product i.e 24722420

Least Common Multiple of 89,731,380 with GCF Formula

Least Common Multiple of 89,731,380 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 89,731,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,731,380) = 1

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

GCF(89,731,380) x common factors =1 x 1 = 1

LCM(89,731,380) = ( 89 × 731 × 380 ) / 1

LCM(89,731,380) = 24722420 / 1

LCM(89,731,380) = 24722420


Lets's calculate GCF of 656,242,192

2 656, 242, 192
328, 121, 96

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24722420/2

Therefore the LCM of Fractions 89/656,731/242,380/192 is 12361210

Greatest Common Factor of 656,242,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,242,192 By Matching Biggest Common Factor Method

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

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 656,242,192 . The biggest common factor number is the GCF number.
So the greatest common factor 656,242,192 is 2.


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 89/656, 731/242, 380/192

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 89/656, 731/242, 380/192?

Answer: LCM of Numerators as per given numbers 89/656, 731/242, 380/192 is

LCM of Numerators i.e. for 89,731,380 is 24722420

GCF of denominators i.e. for 656,242,192 is 2.

Thus, LCM of Fractions is 12361210.Finally, LCM of Fractions for 89/656, 731/242, 380/192 is 12361210.