Least Common Multiple of 241/765, 205/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/765, 205/655 quickly i.e. 9881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/765, 205/655 is 9881.

LCM(241/765, 205/655) = 9881

LCM of 241/765, 205/655

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 241/765,205/655

Given numbers are 241/765,205/655

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 241,205

Least Common Multiple of Numerators i.e. LCM of 241,205 is 49405.

GCF of Denominators means GCF of 765,655 as per the given fractions.

GCF of 765,655 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,205

LCM of Fractions 241/765,205/655 is 9881

Given numbers has no common factors except 1. So, there LCM is their product i.e 49405

Least Common Multiple of 241,205 with GCF Formula

Least Common Multiple of 241,205 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 241,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,205) = 1

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

GCF(241,205) x common factors =1 x 1 = 1

LCM(241,205) = ( 241 × 205 ) / 1

LCM(241,205) = 49405 / 1

LCM(241,205) = 49405


Lets's calculate GCF of 765,655

5 765, 655
153, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49405/5

Therefore the LCM of Fractions 241/765,205/655 is 9881

Greatest Common Factor of 765,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,655 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 765,655 . The biggest common factor number is the GCF number.
So the greatest common factor 765,655 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 241/765, 205/655

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 241/765, 205/655?

Answer: LCM of Numerators as per given numbers 241/765, 205/655 is

LCM of Numerators i.e. for 241,205 is 49405

GCF of denominators i.e. for 765,655 is 5.

Thus, LCM of Fractions is 9881.Finally, LCM of Fractions for 241/765, 205/655 is 9881.