Least Common Multiple of 72/78, 41/461, 308/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/78, 41/461, 308/217 quickly i.e. 227304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/78, 41/461, 308/217 is 227304.

LCM(72/78, 41/461, 308/217) = 227304

LCM of 72/78, 41/461, 308/217

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 72/78,41/461,308/217

Given numbers are 72/78,41/461,308/217

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 72,41,308

Least Common Multiple of Numerators i.e. LCM of 72,41,308 is 227304.

GCF of Denominators means GCF of 78,461,217 as per the given fractions.

GCF of 78,461,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,41,308

LCM of Fractions 72/78,41/461,308/217 is 227304

2 72, 41, 308
2 36, 41, 154
18, 41, 77

∴ So the LCM of the given numbers is 2 x 2 x 18 x 41 x 77 = 227304

Least Common Multiple of 72,41,308 with GCF Formula

Least Common Multiple of 72,41,308 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 72,41,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,41,308) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,41,308) x common factors =1 x 4 = 4

LCM(72,41,308) = ( 72 × 41 × 308 ) / 4

LCM(72,41,308) = 909216 / 4

LCM(72,41,308) = 227304


Lets's calculate GCF of 78,461,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227304/1

Therefore the LCM of Fractions 72/78,41/461,308/217 is 227304

Greatest Common Factor of 78,461,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,461,217 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 78,461,217 . The biggest common factor number is the GCF number.
So the greatest common factor 78,461,217 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 72/78, 41/461, 308/217

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 72/78, 41/461, 308/217?

Answer: LCM of Numerators as per given numbers 72/78, 41/461, 308/217 is

LCM of Numerators i.e. for 72,41,308 is 227304

GCF of denominators i.e. for 78,461,217 is 1.

Thus, LCM of Fractions is 227304.Finally, LCM of Fractions for 72/78, 41/461, 308/217 is 227304.