Least Common Multiple of 8466/27, 6401/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8466/27, 6401/237 quickly i.e. 18063622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8466/27, 6401/237 is 18063622.

LCM(8466/27, 6401/237) = 18063622

LCM of 8466/27, 6401/237

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 8466/27,6401/237

Given numbers are 8466/27,6401/237

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 8466,6401

Least Common Multiple of Numerators i.e. LCM of 8466,6401 is 54190866.

GCF of Denominators means GCF of 27,237 as per the given fractions.

GCF of 27,237 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8466,6401

LCM of Fractions 8466/27,6401/237 is 18063622

Given numbers has no common factors except 1. So, there LCM is their product i.e 54190866

Least Common Multiple of 8466,6401 with GCF Formula

Least Common Multiple of 8466,6401 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 8466,6401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8466,6401) = 1

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

GCF(8466,6401) x common factors =1 x 1 = 1

LCM(8466,6401) = ( 8466 × 6401 ) / 1

LCM(8466,6401) = 54190866 / 1

LCM(8466,6401) = 54190866


Lets's calculate GCF of 27,237

3 27, 237
9, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54190866/3

Therefore the LCM of Fractions 8466/27,6401/237 is 18063622

Greatest Common Factor of 27,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,237 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 27,237 . The biggest common factor number is the GCF number.
So the greatest common factor 27,237 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8466/27, 6401/237

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 8466/27, 6401/237?

Answer: LCM of Numerators as per given numbers 8466/27, 6401/237 is

LCM of Numerators i.e. for 8466,6401 is 54190866

GCF of denominators i.e. for 27,237 is 3.

Thus, LCM of Fractions is 18063622.Finally, LCM of Fractions for 8466/27, 6401/237 is 18063622.