Least Common Multiple of 438/44, 209/79, 906/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/44, 209/79, 906/865 quickly i.e. 13822842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/44, 209/79, 906/865 is 13822842.

LCM(438/44, 209/79, 906/865) = 13822842

LCM of 438/44, 209/79, 906/865

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 438/44,209/79,906/865

Given numbers are 438/44,209/79,906/865

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 438,209,906

Least Common Multiple of Numerators i.e. LCM of 438,209,906 is 13822842.

GCF of Denominators means GCF of 44,79,865 as per the given fractions.

GCF of 44,79,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,209,906

LCM of Fractions 438/44,209/79,906/865 is 13822842

2 438, 209, 906
3 219, 209, 453
73, 209, 151

∴ So the LCM of the given numbers is 2 x 3 x 73 x 209 x 151 = 13822842

Least Common Multiple of 438,209,906 with GCF Formula

Least Common Multiple of 438,209,906 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 438,209,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,209,906) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,209,906) x common factors =1 x 6 = 6

LCM(438,209,906) = ( 438 × 209 × 906 ) / 6

LCM(438,209,906) = 82937052 / 6

LCM(438,209,906) = 13822842


Lets's calculate GCF of 44,79,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13822842/1

Therefore the LCM of Fractions 438/44,209/79,906/865 is 13822842

Greatest Common Factor of 44,79,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,79,865 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 44,79,865 . The biggest common factor number is the GCF number.
So the greatest common factor 44,79,865 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 438/44, 209/79, 906/865

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 438/44, 209/79, 906/865?

Answer: LCM of Numerators as per given numbers 438/44, 209/79, 906/865 is

LCM of Numerators i.e. for 438,209,906 is 13822842

GCF of denominators i.e. for 44,79,865 is 1.

Thus, LCM of Fractions is 13822842.Finally, LCM of Fractions for 438/44, 209/79, 906/865 is 13822842.