Least Common Multiple of 41/282, 9912/8739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/282, 9912/8739 quickly i.e. 135464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/282, 9912/8739 is 135464.

LCM(41/282, 9912/8739) = 135464

LCM of 41/282, 9912/8739

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 41/282,9912/8739

Given numbers are 41/282,9912/8739

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 41,9912

Least Common Multiple of Numerators i.e. LCM of 41,9912 is 406392.

GCF of Denominators means GCF of 282,8739 as per the given fractions.

GCF of 282,8739 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,9912

LCM of Fractions 41/282,9912/8739 is 135464

Given numbers has no common factors except 1. So, there LCM is their product i.e 406392

Least Common Multiple of 41,9912 with GCF Formula

Least Common Multiple of 41,9912 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 41,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,9912) = 1

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

GCF(41,9912) x common factors =1 x 1 = 1

LCM(41,9912) = ( 41 × 9912 ) / 1

LCM(41,9912) = 406392 / 1

LCM(41,9912) = 406392


Lets's calculate GCF of 282,8739

3 282, 8739
94, 2913

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406392/3

Therefore the LCM of Fractions 41/282,9912/8739 is 135464

Greatest Common Factor of 282,8739 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,8739 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 8739

List of positive integer factors of 8739 that divides 8739 without a remainder.

1,3,9,971,2913,8739

Greatest Common Factor

We found the factors 282,8739 . The biggest common factor number is the GCF number.
So the greatest common factor 282,8739 is 3.


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 41/282, 9912/8739

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 41/282, 9912/8739?

Answer: LCM of Numerators as per given numbers 41/282, 9912/8739 is

LCM of Numerators i.e. for 41,9912 is 406392

GCF of denominators i.e. for 282,8739 is 3.

Thus, LCM of Fractions is 135464.Finally, LCM of Fractions for 41/282, 9912/8739 is 135464.