Least Common Multiple of 209/41, 963/28, 331/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 209/41, 963/28, 331/307 quickly i.e. 66619377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/41, 963/28, 331/307 is 66619377.

LCM(209/41, 963/28, 331/307) = 66619377

LCM of 209/41, 963/28, 331/307

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 209/41,963/28,331/307

Given numbers are 209/41,963/28,331/307

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 209,963,331

Least Common Multiple of Numerators i.e. LCM of 209,963,331 is 66619377.

GCF of Denominators means GCF of 41,28,307 as per the given fractions.

GCF of 41,28,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,963,331

LCM of Fractions 209/41,963/28,331/307 is 66619377

Given numbers has no common factors except 1. So, there LCM is their product i.e 66619377

Least Common Multiple of 209,963,331 with GCF Formula

Least Common Multiple of 209,963,331 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 209,963,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,963,331) = 1

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

GCF(209,963,331) x common factors =1 x 1 = 1

LCM(209,963,331) = ( 209 × 963 × 331 ) / 1

LCM(209,963,331) = 66619377 / 1

LCM(209,963,331) = 66619377


Lets's calculate GCF of 41,28,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66619377/1

Therefore the LCM of Fractions 209/41,963/28,331/307 is 66619377

Greatest Common Factor of 41,28,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,28,307 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 41,28,307 . The biggest common factor number is the GCF number.
So the greatest common factor 41,28,307 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 209/41, 963/28, 331/307

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 209/41, 963/28, 331/307?

Answer: LCM of Numerators as per given numbers 209/41, 963/28, 331/307 is

LCM of Numerators i.e. for 209,963,331 is 66619377

GCF of denominators i.e. for 41,28,307 is 1.

Thus, LCM of Fractions is 66619377.Finally, LCM of Fractions for 209/41, 963/28, 331/307 is 66619377.