Least Common Multiple of 332/887, 538/237, 309/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/887, 538/237, 309/450 quickly i.e. 27596172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/887, 538/237, 309/450 is 27596172.

LCM(332/887, 538/237, 309/450) = 27596172

LCM of 332/887, 538/237, 309/450

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 332/887,538/237,309/450

Given numbers are 332/887,538/237,309/450

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 332,538,309

Least Common Multiple of Numerators i.e. LCM of 332,538,309 is 27596172.

GCF of Denominators means GCF of 887,237,450 as per the given fractions.

GCF of 887,237,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,538,309

LCM of Fractions 332/887,538/237,309/450 is 27596172

2 332, 538, 309
166, 269, 309

∴ So the LCM of the given numbers is 2 x 166 x 269 x 309 = 27596172

Least Common Multiple of 332,538,309 with GCF Formula

Least Common Multiple of 332,538,309 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 332,538,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,538,309) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(332,538,309) x common factors =1 x 2 = 2

LCM(332,538,309) = ( 332 × 538 × 309 ) / 2

LCM(332,538,309) = 55192344 / 2

LCM(332,538,309) = 27596172


Lets's calculate GCF of 887,237,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27596172/1

Therefore the LCM of Fractions 332/887,538/237,309/450 is 27596172

Greatest Common Factor of 887,237,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,237,450 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 887,237,450 . The biggest common factor number is the GCF number.
So the greatest common factor 887,237,450 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 332/887, 538/237, 309/450

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 332/887, 538/237, 309/450?

Answer: LCM of Numerators as per given numbers 332/887, 538/237, 309/450 is

LCM of Numerators i.e. for 332,538,309 is 27596172

GCF of denominators i.e. for 887,237,450 is 1.

Thus, LCM of Fractions is 27596172.Finally, LCM of Fractions for 332/887, 538/237, 309/450 is 27596172.