Least Common Multiple of 438/71, 525/7136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/71, 525/7136 quickly i.e. 76650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/71, 525/7136 is 76650.

LCM(438/71, 525/7136) = 76650

LCM of 438/71, 525/7136

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 438/71,525/7136

Given numbers are 438/71,525/7136

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 438,525

Least Common Multiple of Numerators i.e. LCM of 438,525 is 76650.

GCF of Denominators means GCF of 71,7136 as per the given fractions.

GCF of 71,7136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,525

LCM of Fractions 438/71,525/7136 is 76650

3 438, 525
146, 175

∴ So the LCM of the given numbers is 3 x 146 x 175 = 76650

Least Common Multiple of 438,525 with GCF Formula

Least Common Multiple of 438,525 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 438,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,525) = 3

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

GCF(438,525) x common factors =3 x 1 = 3

LCM(438,525) = ( 438 × 525 ) / 3

LCM(438,525) = 229950 / 3

LCM(438,525) = 76650


Lets's calculate GCF of 71,7136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76650/1

Therefore the LCM of Fractions 438/71,525/7136 is 76650

Greatest Common Factor of 71,7136 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,7136 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Greatest Common Factor

We found the factors 71,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 71,7136 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 438/71, 525/7136

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 438/71, 525/7136?

Answer: LCM of Numerators as per given numbers 438/71, 525/7136 is

LCM of Numerators i.e. for 438,525 is 76650

GCF of denominators i.e. for 71,7136 is 1.

Thus, LCM of Fractions is 76650.Finally, LCM of Fractions for 438/71, 525/7136 is 76650.