Least Common Multiple of 6/40, 65/224, 73/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/40, 65/224, 73/438 quickly i.e. 14235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/40, 65/224, 73/438 is 14235.

LCM(6/40, 65/224, 73/438) = 14235

LCM of 6/40, 65/224, 73/438

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 6/40,65/224,73/438

Given numbers are 6/40,65/224,73/438

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 6,65,73

Least Common Multiple of Numerators i.e. LCM of 6,65,73 is 28470.

GCF of Denominators means GCF of 40,224,438 as per the given fractions.

GCF of 40,224,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,65,73

LCM of Fractions 6/40,65/224,73/438 is 14235

Given numbers has no common factors except 1. So, there LCM is their product i.e 28470

Least Common Multiple of 6,65,73 with GCF Formula

Least Common Multiple of 6,65,73 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 6,65,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,65,73) = 1

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

GCF(6,65,73) x common factors =1 x 1 = 1

LCM(6,65,73) = ( 6 × 65 × 73 ) / 1

LCM(6,65,73) = 28470 / 1

LCM(6,65,73) = 28470


Lets's calculate GCF of 40,224,438

2 40, 224, 438
20, 112, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28470/2

Therefore the LCM of Fractions 6/40,65/224,73/438 is 14235

Greatest Common Factor of 40,224,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,224,438 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 40,224,438 . The biggest common factor number is the GCF number.
So the greatest common factor 40,224,438 is 2.


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 6/40, 65/224, 73/438

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 6/40, 65/224, 73/438?

Answer: LCM of Numerators as per given numbers 6/40, 65/224, 73/438 is

LCM of Numerators i.e. for 6,65,73 is 28470

GCF of denominators i.e. for 40,224,438 is 2.

Thus, LCM of Fractions is 14235.Finally, LCM of Fractions for 6/40, 65/224, 73/438 is 14235.