Least Common Multiple of 759/378, 7725/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/378, 7725/241 quickly i.e. 1954425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/378, 7725/241 is 1954425.

LCM(759/378, 7725/241) = 1954425

LCM of 759/378, 7725/241

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 759/378,7725/241

Given numbers are 759/378,7725/241

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 759,7725

Least Common Multiple of Numerators i.e. LCM of 759,7725 is 1954425.

GCF of Denominators means GCF of 378,241 as per the given fractions.

GCF of 378,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,7725

LCM of Fractions 759/378,7725/241 is 1954425

3 759, 7725
253, 2575

∴ So the LCM of the given numbers is 3 x 253 x 2575 = 1954425

Least Common Multiple of 759,7725 with GCF Formula

Least Common Multiple of 759,7725 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 759,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,7725) = 3

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

GCF(759,7725) x common factors =3 x 1 = 3

LCM(759,7725) = ( 759 × 7725 ) / 3

LCM(759,7725) = 5863275 / 3

LCM(759,7725) = 1954425


Lets's calculate GCF of 378,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1954425/1

Therefore the LCM of Fractions 759/378,7725/241 is 1954425

Greatest Common Factor of 378,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,241 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 378,241 . The biggest common factor number is the GCF number.
So the greatest common factor 378,241 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 759/378, 7725/241

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 759/378, 7725/241?

Answer: LCM of Numerators as per given numbers 759/378, 7725/241 is

LCM of Numerators i.e. for 759,7725 is 1954425

GCF of denominators i.e. for 378,241 is 1.

Thus, LCM of Fractions is 1954425.Finally, LCM of Fractions for 759/378, 7725/241 is 1954425.