Least Common Multiple of 308/436, 466/301, 273/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/436, 466/301, 273/731 quickly i.e. 2798796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/436, 466/301, 273/731 is 2798796.

LCM(308/436, 466/301, 273/731) = 2798796

LCM of 308/436, 466/301, 273/731

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 308/436,466/301,273/731

Given numbers are 308/436,466/301,273/731

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 308,466,273

Least Common Multiple of Numerators i.e. LCM of 308,466,273 is 2798796.

GCF of Denominators means GCF of 436,301,731 as per the given fractions.

GCF of 436,301,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,466,273

LCM of Fractions 308/436,466/301,273/731 is 2798796

2 308, 466, 273
7 154, 233, 273
22, 233, 39

∴ So the LCM of the given numbers is 2 x 7 x 22 x 233 x 39 = 2798796

Least Common Multiple of 308,466,273 with GCF Formula

Least Common Multiple of 308,466,273 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 308,466,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,466,273) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(308,466,273) x common factors =1 x 14 = 14

LCM(308,466,273) = ( 308 × 466 × 273 ) / 14

LCM(308,466,273) = 39183144 / 14

LCM(308,466,273) = 2798796


Lets's calculate GCF of 436,301,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2798796/1

Therefore the LCM of Fractions 308/436,466/301,273/731 is 2798796

Greatest Common Factor of 436,301,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,301,731 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 436,301,731 . The biggest common factor number is the GCF number.
So the greatest common factor 436,301,731 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 308/436, 466/301, 273/731

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 308/436, 466/301, 273/731?

Answer: LCM of Numerators as per given numbers 308/436, 466/301, 273/731 is

LCM of Numerators i.e. for 308,466,273 is 2798796

GCF of denominators i.e. for 436,301,731 is 1.

Thus, LCM of Fractions is 2798796.Finally, LCM of Fractions for 308/436, 466/301, 273/731 is 2798796.