Least Common Multiple of 767/78, 2441/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/78, 2441/195 quickly i.e. 1872247/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/78, 2441/195 is 1872247/39.

LCM(767/78, 2441/195) = 1872247/39

LCM of 767/78, 2441/195

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 767/78,2441/195

Given numbers are 767/78,2441/195

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 767,2441

Least Common Multiple of Numerators i.e. LCM of 767,2441 is 1872247.

GCF of Denominators means GCF of 78,195 as per the given fractions.

GCF of 78,195 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,2441

LCM of Fractions 767/78,2441/195 is 1872247/39

Given numbers has no common factors except 1. So, there LCM is their product i.e 1872247

Least Common Multiple of 767,2441 with GCF Formula

Least Common Multiple of 767,2441 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 767,2441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,2441) = 1

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

GCF(767,2441) x common factors =1 x 1 = 1

LCM(767,2441) = ( 767 × 2441 ) / 1

LCM(767,2441) = 1872247 / 1

LCM(767,2441) = 1872247


Lets's calculate GCF of 78,195

3 78, 195
13 26, 65
2, 5

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872247/39

Therefore the LCM of Fractions 767/78,2441/195 is 1872247/39

Greatest Common Factor of 78,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,195 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 78,195 . The biggest common factor number is the GCF number.
So the greatest common factor 78,195 is 39.


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 767/78, 2441/195

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 767/78, 2441/195?

Answer: LCM of Numerators as per given numbers 767/78, 2441/195 is

LCM of Numerators i.e. for 767,2441 is 1872247

GCF of denominators i.e. for 78,195 is 39.

Thus, LCM of Fractions is 1872247/39.Finally, LCM of Fractions for 767/78, 2441/195 is 1872247/39.