Least Common Multiple of 51/345, 96/275, 663/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/345, 96/275, 663/239 quickly i.e. 21216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/345, 96/275, 663/239 is 21216.

LCM(51/345, 96/275, 663/239) = 21216

LCM of 51/345, 96/275, 663/239

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 51/345,96/275,663/239

Given numbers are 51/345,96/275,663/239

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 51,96,663

Least Common Multiple of Numerators i.e. LCM of 51,96,663 is 21216.

GCF of Denominators means GCF of 345,275,239 as per the given fractions.

GCF of 345,275,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,96,663

LCM of Fractions 51/345,96/275,663/239 is 21216

3 51, 96, 663
17 17, 32, 221
1, 32, 13

∴ So the LCM of the given numbers is 3 x 17 x 1 x 32 x 13 = 21216

Least Common Multiple of 51,96,663 with GCF Formula

Least Common Multiple of 51,96,663 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 51,96,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,96,663) = 3

common factors(in case of two or more numbers have common factors) = 51

GCF(51,96,663) x common factors =3 x 51 = 153

LCM(51,96,663) = ( 51 × 96 × 663 ) / 153

LCM(51,96,663) = 3246048 / 153

LCM(51,96,663) = 21216


Lets's calculate GCF of 345,275,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21216/1

Therefore the LCM of Fractions 51/345,96/275,663/239 is 21216

Greatest Common Factor of 345,275,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,275,239 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 345,275,239 . The biggest common factor number is the GCF number.
So the greatest common factor 345,275,239 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 51/345, 96/275, 663/239

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 51/345, 96/275, 663/239?

Answer: LCM of Numerators as per given numbers 51/345, 96/275, 663/239 is

LCM of Numerators i.e. for 51,96,663 is 21216

GCF of denominators i.e. for 345,275,239 is 1.

Thus, LCM of Fractions is 21216.Finally, LCM of Fractions for 51/345, 96/275, 663/239 is 21216.