Least Common Multiple of 11/364, 9243/8049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/364, 9243/8049 quickly i.e. 101673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/364, 9243/8049 is 101673.

LCM(11/364, 9243/8049) = 101673

LCM of 11/364, 9243/8049

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 11/364,9243/8049

Given numbers are 11/364,9243/8049

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 11,9243

Least Common Multiple of Numerators i.e. LCM of 11,9243 is 101673.

GCF of Denominators means GCF of 364,8049 as per the given fractions.

GCF of 364,8049 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,9243

LCM of Fractions 11/364,9243/8049 is 101673

Given numbers has no common factors except 1. So, there LCM is their product i.e 101673

Least Common Multiple of 11,9243 with GCF Formula

Least Common Multiple of 11,9243 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 11,9243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,9243) = 1

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

GCF(11,9243) x common factors =1 x 1 = 1

LCM(11,9243) = ( 11 × 9243 ) / 1

LCM(11,9243) = 101673 / 1

LCM(11,9243) = 101673


Lets's calculate GCF of 364,8049

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101673/1

Therefore the LCM of Fractions 11/364,9243/8049 is 101673

Greatest Common Factor of 364,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,8049 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 364,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 364,8049 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 11/364, 9243/8049

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 11/364, 9243/8049?

Answer: LCM of Numerators as per given numbers 11/364, 9243/8049 is

LCM of Numerators i.e. for 11,9243 is 101673

GCF of denominators i.e. for 364,8049 is 1.

Thus, LCM of Fractions is 101673.Finally, LCM of Fractions for 11/364, 9243/8049 is 101673.