Least Common Multiple of 24/41, 66/91, 287/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/41, 66/91, 287/941 quickly i.e. 75768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/41, 66/91, 287/941 is 75768.

LCM(24/41, 66/91, 287/941) = 75768

LCM of 24/41, 66/91, 287/941

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 24/41,66/91,287/941

Given numbers are 24/41,66/91,287/941

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 24,66,287

Least Common Multiple of Numerators i.e. LCM of 24,66,287 is 75768.

GCF of Denominators means GCF of 41,91,941 as per the given fractions.

GCF of 41,91,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,66,287

LCM of Fractions 24/41,66/91,287/941 is 75768

2 24, 66, 287
3 12, 33, 287
4, 11, 287

∴ So the LCM of the given numbers is 2 x 3 x 4 x 11 x 287 = 75768

Least Common Multiple of 24,66,287 with GCF Formula

Least Common Multiple of 24,66,287 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 24,66,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,66,287) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,66,287) x common factors =1 x 6 = 6

LCM(24,66,287) = ( 24 × 66 × 287 ) / 6

LCM(24,66,287) = 454608 / 6

LCM(24,66,287) = 75768


Lets's calculate GCF of 41,91,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75768/1

Therefore the LCM of Fractions 24/41,66/91,287/941 is 75768

Greatest Common Factor of 41,91,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,91,941 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 41,91,941 . The biggest common factor number is the GCF number.
So the greatest common factor 41,91,941 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 24/41, 66/91, 287/941

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 24/41, 66/91, 287/941?

Answer: LCM of Numerators as per given numbers 24/41, 66/91, 287/941 is

LCM of Numerators i.e. for 24,66,287 is 75768

GCF of denominators i.e. for 41,91,941 is 1.

Thus, LCM of Fractions is 75768.Finally, LCM of Fractions for 24/41, 66/91, 287/941 is 75768.