Least Common Multiple of 36/243, 8651/7366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/243, 8651/7366 quickly i.e. 311436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/243, 8651/7366 is 311436.

LCM(36/243, 8651/7366) = 311436

LCM of 36/243, 8651/7366

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 36/243,8651/7366

Given numbers are 36/243,8651/7366

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 36,8651

Least Common Multiple of Numerators i.e. LCM of 36,8651 is 311436.

GCF of Denominators means GCF of 243,7366 as per the given fractions.

GCF of 243,7366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,8651

LCM of Fractions 36/243,8651/7366 is 311436

Given numbers has no common factors except 1. So, there LCM is their product i.e 311436

Least Common Multiple of 36,8651 with GCF Formula

Least Common Multiple of 36,8651 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 36,8651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,8651) = 1

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

GCF(36,8651) x common factors =1 x 1 = 1

LCM(36,8651) = ( 36 × 8651 ) / 1

LCM(36,8651) = 311436 / 1

LCM(36,8651) = 311436


Lets's calculate GCF of 243,7366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311436/1

Therefore the LCM of Fractions 36/243,8651/7366 is 311436

Greatest Common Factor of 243,7366 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,7366 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1,2,29,58,127,254,3683,7366

Greatest Common Factor

We found the factors 243,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 243,7366 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/243, 8651/7366

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 36/243, 8651/7366?

Answer: LCM of Numerators as per given numbers 36/243, 8651/7366 is

LCM of Numerators i.e. for 36,8651 is 311436

GCF of denominators i.e. for 243,7366 is 1.

Thus, LCM of Fractions is 311436.Finally, LCM of Fractions for 36/243, 8651/7366 is 311436.