Least Common Multiple of 5375/260, 8121/4065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5375/260, 8121/4065 quickly i.e. 8730075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5375/260, 8121/4065 is 8730075.

LCM(5375/260, 8121/4065) = 8730075

LCM of 5375/260, 8121/4065

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 5375/260,8121/4065

Given numbers are 5375/260,8121/4065

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 5375,8121

Least Common Multiple of Numerators i.e. LCM of 5375,8121 is 43650375.

GCF of Denominators means GCF of 260,4065 as per the given fractions.

GCF of 260,4065 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5375,8121

LCM of Fractions 5375/260,8121/4065 is 8730075

Given numbers has no common factors except 1. So, there LCM is their product i.e 43650375

Least Common Multiple of 5375,8121 with GCF Formula

Least Common Multiple of 5375,8121 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 5375,8121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5375,8121) = 1

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

GCF(5375,8121) x common factors =1 x 1 = 1

LCM(5375,8121) = ( 5375 × 8121 ) / 1

LCM(5375,8121) = 43650375 / 1

LCM(5375,8121) = 43650375


Lets's calculate GCF of 260,4065

5 260, 4065
52, 813

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43650375/5

Therefore the LCM of Fractions 5375/260,8121/4065 is 8730075

Greatest Common Factor of 260,4065 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,4065 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1,3,5,15,271,813,1355,4065

Greatest Common Factor

We found the factors 260,4065 . The biggest common factor number is the GCF number.
So the greatest common factor 260,4065 is 5.


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 5375/260, 8121/4065

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 5375/260, 8121/4065?

Answer: LCM of Numerators as per given numbers 5375/260, 8121/4065 is

LCM of Numerators i.e. for 5375,8121 is 43650375

GCF of denominators i.e. for 260,4065 is 5.

Thus, LCM of Fractions is 8730075.Finally, LCM of Fractions for 5375/260, 8121/4065 is 8730075.