Least Common Multiple of 747/58, 344/9673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/58, 344/9673 quickly i.e. 256968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/58, 344/9673 is 256968.

LCM(747/58, 344/9673) = 256968

LCM of 747/58, 344/9673

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 747/58,344/9673

Given numbers are 747/58,344/9673

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 747,344

Least Common Multiple of Numerators i.e. LCM of 747,344 is 256968.

GCF of Denominators means GCF of 58,9673 as per the given fractions.

GCF of 58,9673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,344

LCM of Fractions 747/58,344/9673 is 256968

Given numbers has no common factors except 1. So, there LCM is their product i.e 256968

Least Common Multiple of 747,344 with GCF Formula

Least Common Multiple of 747,344 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 747,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,344) = 1

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

GCF(747,344) x common factors =1 x 1 = 1

LCM(747,344) = ( 747 × 344 ) / 1

LCM(747,344) = 256968 / 1

LCM(747,344) = 256968


Lets's calculate GCF of 58,9673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256968/1

Therefore the LCM of Fractions 747/58,344/9673 is 256968

Greatest Common Factor of 58,9673 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9673 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 9673

List of positive integer factors of 9673 that divides 9673 without a remainder.

1,17,569,9673

Greatest Common Factor

We found the factors 58,9673 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9673 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 747/58, 344/9673

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 747/58, 344/9673?

Answer: LCM of Numerators as per given numbers 747/58, 344/9673 is

LCM of Numerators i.e. for 747,344 is 256968

GCF of denominators i.e. for 58,9673 is 1.

Thus, LCM of Fractions is 256968.Finally, LCM of Fractions for 747/58, 344/9673 is 256968.