Least Common Multiple of 6521/609, 9141/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6521/609, 9141/382 quickly i.e. 59608461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6521/609, 9141/382 is 59608461.

LCM(6521/609, 9141/382) = 59608461

LCM of 6521/609, 9141/382

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 6521/609,9141/382

Given numbers are 6521/609,9141/382

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 6521,9141

Least Common Multiple of Numerators i.e. LCM of 6521,9141 is 59608461.

GCF of Denominators means GCF of 609,382 as per the given fractions.

GCF of 609,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6521,9141

LCM of Fractions 6521/609,9141/382 is 59608461

Given numbers has no common factors except 1. So, there LCM is their product i.e 59608461

Least Common Multiple of 6521,9141 with GCF Formula

Least Common Multiple of 6521,9141 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 6521,9141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6521,9141) = 1

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

GCF(6521,9141) x common factors =1 x 1 = 1

LCM(6521,9141) = ( 6521 × 9141 ) / 1

LCM(6521,9141) = 59608461 / 1

LCM(6521,9141) = 59608461


Lets's calculate GCF of 609,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59608461/1

Therefore the LCM of Fractions 6521/609,9141/382 is 59608461

Greatest Common Factor of 609,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,382 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 609,382 . The biggest common factor number is the GCF number.
So the greatest common factor 609,382 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 6521/609, 9141/382

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 6521/609, 9141/382?

Answer: LCM of Numerators as per given numbers 6521/609, 9141/382 is

LCM of Numerators i.e. for 6521,9141 is 59608461

GCF of denominators i.e. for 609,382 is 1.

Thus, LCM of Fractions is 59608461.Finally, LCM of Fractions for 6521/609, 9141/382 is 59608461.