Least Common Multiple of 23/195, 344/26, 461/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/195, 344/26, 461/672 quickly i.e. 3647432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/195, 344/26, 461/672 is 3647432.

LCM(23/195, 344/26, 461/672) = 3647432

LCM of 23/195, 344/26, 461/672

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 23/195,344/26,461/672

Given numbers are 23/195,344/26,461/672

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 23,344,461

Least Common Multiple of Numerators i.e. LCM of 23,344,461 is 3647432.

GCF of Denominators means GCF of 195,26,672 as per the given fractions.

GCF of 195,26,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,344,461

LCM of Fractions 23/195,344/26,461/672 is 3647432

Given numbers has no common factors except 1. So, there LCM is their product i.e 3647432

Least Common Multiple of 23,344,461 with GCF Formula

Least Common Multiple of 23,344,461 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 23,344,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,344,461) = 1

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

GCF(23,344,461) x common factors =1 x 1 = 1

LCM(23,344,461) = ( 23 × 344 × 461 ) / 1

LCM(23,344,461) = 3647432 / 1

LCM(23,344,461) = 3647432


Lets's calculate GCF of 195,26,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3647432/1

Therefore the LCM of Fractions 23/195,344/26,461/672 is 3647432

Greatest Common Factor of 195,26,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,26,672 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 195,26,672 . The biggest common factor number is the GCF number.
So the greatest common factor 195,26,672 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 23/195, 344/26, 461/672

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 23/195, 344/26, 461/672?

Answer: LCM of Numerators as per given numbers 23/195, 344/26, 461/672 is

LCM of Numerators i.e. for 23,344,461 is 3647432

GCF of denominators i.e. for 195,26,672 is 1.

Thus, LCM of Fractions is 3647432.Finally, LCM of Fractions for 23/195, 344/26, 461/672 is 3647432.