Least Common Multiple of 216/857, 4197/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/857, 4197/802 quickly i.e. 302184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/857, 4197/802 is 302184.

LCM(216/857, 4197/802) = 302184

LCM of 216/857, 4197/802

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 216/857,4197/802

Given numbers are 216/857,4197/802

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 216,4197

Least Common Multiple of Numerators i.e. LCM of 216,4197 is 302184.

GCF of Denominators means GCF of 857,802 as per the given fractions.

GCF of 857,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,4197

LCM of Fractions 216/857,4197/802 is 302184

3 216, 4197
72, 1399

∴ So the LCM of the given numbers is 3 x 72 x 1399 = 302184

Least Common Multiple of 216,4197 with GCF Formula

Least Common Multiple of 216,4197 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 216,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,4197) = 3

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

GCF(216,4197) x common factors =3 x 1 = 3

LCM(216,4197) = ( 216 × 4197 ) / 3

LCM(216,4197) = 906552 / 3

LCM(216,4197) = 302184


Lets's calculate GCF of 857,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302184/1

Therefore the LCM of Fractions 216/857,4197/802 is 302184

Greatest Common Factor of 857,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,802 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 857,802 . The biggest common factor number is the GCF number.
So the greatest common factor 857,802 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 216/857, 4197/802

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 216/857, 4197/802?

Answer: LCM of Numerators as per given numbers 216/857, 4197/802 is

LCM of Numerators i.e. for 216,4197 is 302184

GCF of denominators i.e. for 857,802 is 1.

Thus, LCM of Fractions is 302184.Finally, LCM of Fractions for 216/857, 4197/802 is 302184.