Least Common Multiple of 281/40, 241/7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/40, 241/7101 quickly i.e. 67721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/40, 241/7101 is 67721.

LCM(281/40, 241/7101) = 67721

LCM of 281/40, 241/7101

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 281/40,241/7101

Given numbers are 281/40,241/7101

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 281,241

Least Common Multiple of Numerators i.e. LCM of 281,241 is 67721.

GCF of Denominators means GCF of 40,7101 as per the given fractions.

GCF of 40,7101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,241

LCM of Fractions 281/40,241/7101 is 67721

Given numbers has no common factors except 1. So, there LCM is their product i.e 67721

Least Common Multiple of 281,241 with GCF Formula

Least Common Multiple of 281,241 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 281,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,241) = 1

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

GCF(281,241) x common factors =1 x 1 = 1

LCM(281,241) = ( 281 × 241 ) / 1

LCM(281,241) = 67721 / 1

LCM(281,241) = 67721


Lets's calculate GCF of 40,7101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67721/1

Therefore the LCM of Fractions 281/40,241/7101 is 67721

Greatest Common Factor of 40,7101 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7101 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1,3,9,27,263,789,2367,7101

Greatest Common Factor

We found the factors 40,7101 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7101 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 281/40, 241/7101

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 281/40, 241/7101?

Answer: LCM of Numerators as per given numbers 281/40, 241/7101 is

LCM of Numerators i.e. for 281,241 is 67721

GCF of denominators i.e. for 40,7101 is 1.

Thus, LCM of Fractions is 67721.Finally, LCM of Fractions for 281/40, 241/7101 is 67721.