Least Common Multiple of 78/241, 3667/3725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/241, 3667/3725 quickly i.e. 286026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/241, 3667/3725 is 286026.

LCM(78/241, 3667/3725) = 286026

LCM of 78/241, 3667/3725

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 78/241,3667/3725

Given numbers are 78/241,3667/3725

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 78,3667

Least Common Multiple of Numerators i.e. LCM of 78,3667 is 286026.

GCF of Denominators means GCF of 241,3725 as per the given fractions.

GCF of 241,3725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,3667

LCM of Fractions 78/241,3667/3725 is 286026

Given numbers has no common factors except 1. So, there LCM is their product i.e 286026

Least Common Multiple of 78,3667 with GCF Formula

Least Common Multiple of 78,3667 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 78,3667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,3667) = 1

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

GCF(78,3667) x common factors =1 x 1 = 1

LCM(78,3667) = ( 78 × 3667 ) / 1

LCM(78,3667) = 286026 / 1

LCM(78,3667) = 286026


Lets's calculate GCF of 241,3725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286026/1

Therefore the LCM of Fractions 78/241,3667/3725 is 286026

Greatest Common Factor of 241,3725 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,3725 By Matching Biggest Common Factor Method

Factors of 241

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

1,241

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1,5,25,149,745,3725

Greatest Common Factor

We found the factors 241,3725 . The biggest common factor number is the GCF number.
So the greatest common factor 241,3725 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 78/241, 3667/3725

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 78/241, 3667/3725?

Answer: LCM of Numerators as per given numbers 78/241, 3667/3725 is

LCM of Numerators i.e. for 78,3667 is 286026

GCF of denominators i.e. for 241,3725 is 1.

Thus, LCM of Fractions is 286026.Finally, LCM of Fractions for 78/241, 3667/3725 is 286026.