Least Common Multiple of 241/82, 9636/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 241/82, 9636/912 quickly i.e. 1161138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/82, 9636/912 is 1161138.

LCM(241/82, 9636/912) = 1161138

LCM of 241/82, 9636/912

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 241/82,9636/912

Given numbers are 241/82,9636/912

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 241,9636

Least Common Multiple of Numerators i.e. LCM of 241,9636 is 2322276.

GCF of Denominators means GCF of 82,912 as per the given fractions.

GCF of 82,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,9636

LCM of Fractions 241/82,9636/912 is 1161138

Given numbers has no common factors except 1. So, there LCM is their product i.e 2322276

Least Common Multiple of 241,9636 with GCF Formula

Least Common Multiple of 241,9636 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 241,9636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,9636) = 1

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

GCF(241,9636) x common factors =1 x 1 = 1

LCM(241,9636) = ( 241 × 9636 ) / 1

LCM(241,9636) = 2322276 / 1

LCM(241,9636) = 2322276


Lets's calculate GCF of 82,912

2 82, 912
41, 456

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322276/2

Therefore the LCM of Fractions 241/82,9636/912 is 1161138

Greatest Common Factor of 82,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,912 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 82,912 . The biggest common factor number is the GCF number.
So the greatest common factor 82,912 is 2.


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Frequently Asked Questions on Fractional LCM of 241/82, 9636/912

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 241/82, 9636/912?

Answer: LCM of Numerators as per given numbers 241/82, 9636/912 is

LCM of Numerators i.e. for 241,9636 is 2322276

GCF of denominators i.e. for 82,912 is 2.

Thus, LCM of Fractions is 1161138.Finally, LCM of Fractions for 241/82, 9636/912 is 1161138.