Least Common Multiple of 218/399, 528/291, 356/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/399, 528/291, 356/240 quickly i.e. 1707376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/399, 528/291, 356/240 is 1707376.

LCM(218/399, 528/291, 356/240) = 1707376

LCM of 218/399, 528/291, 356/240

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 218/399,528/291,356/240

Given numbers are 218/399,528/291,356/240

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 218,528,356

Least Common Multiple of Numerators i.e. LCM of 218,528,356 is 5122128.

GCF of Denominators means GCF of 399,291,240 as per the given fractions.

GCF of 399,291,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,528,356

LCM of Fractions 218/399,528/291,356/240 is 1707376

2 218, 528, 356
2 109, 264, 178
109, 132, 89

∴ So the LCM of the given numbers is 2 x 2 x 109 x 132 x 89 = 5122128

Least Common Multiple of 218,528,356 with GCF Formula

Least Common Multiple of 218,528,356 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 218,528,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,528,356) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(218,528,356) x common factors =2 x 4 = 8

LCM(218,528,356) = ( 218 × 528 × 356 ) / 8

LCM(218,528,356) = 40977024 / 8

LCM(218,528,356) = 5122128


Lets's calculate GCF of 399,291,240

3 399, 291, 240
133, 97, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5122128/3

Therefore the LCM of Fractions 218/399,528/291,356/240 is 1707376

Greatest Common Factor of 399,291,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,291,240 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 399,291,240 . The biggest common factor number is the GCF number.
So the greatest common factor 399,291,240 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 218/399, 528/291, 356/240

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 218/399, 528/291, 356/240?

Answer: LCM of Numerators as per given numbers 218/399, 528/291, 356/240 is

LCM of Numerators i.e. for 218,528,356 is 5122128

GCF of denominators i.e. for 399,291,240 is 3.

Thus, LCM of Fractions is 1707376.Finally, LCM of Fractions for 218/399, 528/291, 356/240 is 1707376.