Least Common Multiple of 216/21, 497/5307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/21, 497/5307 quickly i.e. 35784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/21, 497/5307 is 35784.

LCM(216/21, 497/5307) = 35784

LCM of 216/21, 497/5307

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 216/21,497/5307

Given numbers are 216/21,497/5307

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 216,497

Least Common Multiple of Numerators i.e. LCM of 216,497 is 107352.

GCF of Denominators means GCF of 21,5307 as per the given fractions.

GCF of 21,5307 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,497

LCM of Fractions 216/21,497/5307 is 35784

Given numbers has no common factors except 1. So, there LCM is their product i.e 107352

Least Common Multiple of 216,497 with GCF Formula

Least Common Multiple of 216,497 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 216,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,497) = 1

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

GCF(216,497) x common factors =1 x 1 = 1

LCM(216,497) = ( 216 × 497 ) / 1

LCM(216,497) = 107352 / 1

LCM(216,497) = 107352


Lets's calculate GCF of 21,5307

3 21, 5307
7, 1769

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107352/3

Therefore the LCM of Fractions 216/21,497/5307 is 35784

Greatest Common Factor of 21,5307 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,5307 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Greatest Common Factor

We found the factors 21,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 21,5307 is 3.


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 216/21, 497/5307

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 216/21, 497/5307?

Answer: LCM of Numerators as per given numbers 216/21, 497/5307 is

LCM of Numerators i.e. for 216,497 is 107352

GCF of denominators i.e. for 21,5307 is 3.

Thus, LCM of Fractions is 35784.Finally, LCM of Fractions for 216/21, 497/5307 is 35784.