Least Common Multiple of 51/996, 90/397, 324/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/996, 90/397, 324/281 quickly i.e. 27540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/996, 90/397, 324/281 is 27540.

LCM(51/996, 90/397, 324/281) = 27540

LCM of 51/996, 90/397, 324/281

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 51/996,90/397,324/281

Given numbers are 51/996,90/397,324/281

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 51,90,324

Least Common Multiple of Numerators i.e. LCM of 51,90,324 is 27540.

GCF of Denominators means GCF of 996,397,281 as per the given fractions.

GCF of 996,397,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,90,324

LCM of Fractions 51/996,90/397,324/281 is 27540

2 51, 90, 324
3 51, 45, 162
3 17, 15, 54
17, 5, 18

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 5 x 18 = 27540

Least Common Multiple of 51,90,324 with GCF Formula

Least Common Multiple of 51,90,324 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 51,90,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90,324) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(51,90,324) x common factors =3 x 18 = 54

LCM(51,90,324) = ( 51 × 90 × 324 ) / 54

LCM(51,90,324) = 1487160 / 54

LCM(51,90,324) = 27540


Lets's calculate GCF of 996,397,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27540/1

Therefore the LCM of Fractions 51/996,90/397,324/281 is 27540

Greatest Common Factor of 996,397,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,397,281 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 996,397,281 . The biggest common factor number is the GCF number.
So the greatest common factor 996,397,281 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 51/996, 90/397, 324/281

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 51/996, 90/397, 324/281?

Answer: LCM of Numerators as per given numbers 51/996, 90/397, 324/281 is

LCM of Numerators i.e. for 51,90,324 is 27540

GCF of denominators i.e. for 996,397,281 is 1.

Thus, LCM of Fractions is 27540.Finally, LCM of Fractions for 51/996, 90/397, 324/281 is 27540.