Least Common Multiple of 8/214, 11/344, 72/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/214, 11/344, 72/444 quickly i.e. 396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/214, 11/344, 72/444 is 396.

LCM(8/214, 11/344, 72/444) = 396

LCM of 8/214, 11/344, 72/444

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 8/214,11/344,72/444

Given numbers are 8/214,11/344,72/444

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 8,11,72

Least Common Multiple of Numerators i.e. LCM of 8,11,72 is 792.

GCF of Denominators means GCF of 214,344,444 as per the given fractions.

GCF of 214,344,444 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,11,72

LCM of Fractions 8/214,11/344,72/444 is 396

2 8, 11, 72
2 4, 11, 36
2 2, 11, 18
1, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 11 x 9 = 792

Least Common Multiple of 8,11,72 with GCF Formula

Least Common Multiple of 8,11,72 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 8,11,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,11,72) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(8,11,72) x common factors =1 x 8 = 8

LCM(8,11,72) = ( 8 × 11 × 72 ) / 8

LCM(8,11,72) = 6336 / 8

LCM(8,11,72) = 792


Lets's calculate GCF of 214,344,444

2 214, 344, 444
107, 172, 222

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792/2

Therefore the LCM of Fractions 8/214,11/344,72/444 is 396

Greatest Common Factor of 214,344,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,344,444 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 214,344,444 . The biggest common factor number is the GCF number.
So the greatest common factor 214,344,444 is 2.


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 8/214, 11/344, 72/444

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 8/214, 11/344, 72/444?

Answer: LCM of Numerators as per given numbers 8/214, 11/344, 72/444 is

LCM of Numerators i.e. for 8,11,72 is 792

GCF of denominators i.e. for 214,344,444 is 2.

Thus, LCM of Fractions is 396.Finally, LCM of Fractions for 8/214, 11/344, 72/444 is 396.