Least Common Multiple of 216/524, 108/385, 440/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/524, 108/385, 440/208 quickly i.e. 11880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/524, 108/385, 440/208 is 11880.

LCM(216/524, 108/385, 440/208) = 11880

LCM of 216/524, 108/385, 440/208

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 216/524,108/385,440/208

Given numbers are 216/524,108/385,440/208

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 216,108,440

Least Common Multiple of Numerators i.e. LCM of 216,108,440 is 11880.

GCF of Denominators means GCF of 524,385,208 as per the given fractions.

GCF of 524,385,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,108,440

LCM of Fractions 216/524,108/385,440/208 is 11880

2 216, 108, 440
2 108, 54, 220
2 27, 54, 110
3 27, 27, 55
3 9, 9, 55
3 3, 3, 55
1, 1, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 1 x 1 x 55 = 11880

Least Common Multiple of 216,108,440 with GCF Formula

Least Common Multiple of 216,108,440 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 216,108,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,108,440) = 4

common factors(in case of two or more numbers have common factors) = 216

GCF(216,108,440) x common factors =4 x 216 = 864

LCM(216,108,440) = ( 216 × 108 × 440 ) / 864

LCM(216,108,440) = 10264320 / 864

LCM(216,108,440) = 11880


Lets's calculate GCF of 524,385,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880/1

Therefore the LCM of Fractions 216/524,108/385,440/208 is 11880

Greatest Common Factor of 524,385,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,385,208 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 524,385,208 . The biggest common factor number is the GCF number.
So the greatest common factor 524,385,208 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 216/524, 108/385, 440/208

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 216/524, 108/385, 440/208?

Answer: LCM of Numerators as per given numbers 216/524, 108/385, 440/208 is

LCM of Numerators i.e. for 216,108,440 is 11880

GCF of denominators i.e. for 524,385,208 is 1.

Thus, LCM of Fractions is 11880.Finally, LCM of Fractions for 216/524, 108/385, 440/208 is 11880.