Least Common Multiple of 147/45, 713/7521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/45, 713/7521 quickly i.e. 34937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/45, 713/7521 is 34937.

LCM(147/45, 713/7521) = 34937

LCM of 147/45, 713/7521

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 147/45,713/7521

Given numbers are 147/45,713/7521

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 147,713

Least Common Multiple of Numerators i.e. LCM of 147,713 is 104811.

GCF of Denominators means GCF of 45,7521 as per the given fractions.

GCF of 45,7521 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,713

LCM of Fractions 147/45,713/7521 is 34937

Given numbers has no common factors except 1. So, there LCM is their product i.e 104811

Least Common Multiple of 147,713 with GCF Formula

Least Common Multiple of 147,713 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 147,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,713) = 1

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

GCF(147,713) x common factors =1 x 1 = 1

LCM(147,713) = ( 147 × 713 ) / 1

LCM(147,713) = 104811 / 1

LCM(147,713) = 104811


Lets's calculate GCF of 45,7521

3 45, 7521
15, 2507

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104811/3

Therefore the LCM of Fractions 147/45,713/7521 is 34937

Greatest Common Factor of 45,7521 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,7521 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1,3,23,69,109,327,2507,7521

Greatest Common Factor

We found the factors 45,7521 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7521 is 3.


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 147/45, 713/7521

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 147/45, 713/7521?

Answer: LCM of Numerators as per given numbers 147/45, 713/7521 is

LCM of Numerators i.e. for 147,713 is 104811

GCF of denominators i.e. for 45,7521 is 3.

Thus, LCM of Fractions is 34937.Finally, LCM of Fractions for 147/45, 713/7521 is 34937.