Least Common Multiple of 44/17, 12/28, 846/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/17, 12/28, 846/909 quickly i.e. 18612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/17, 12/28, 846/909 is 18612.

LCM(44/17, 12/28, 846/909) = 18612

LCM of 44/17, 12/28, 846/909

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 44/17,12/28,846/909

Given numbers are 44/17,12/28,846/909

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 44,12,846

Least Common Multiple of Numerators i.e. LCM of 44,12,846 is 18612.

GCF of Denominators means GCF of 17,28,909 as per the given fractions.

GCF of 17,28,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,12,846

LCM of Fractions 44/17,12/28,846/909 is 18612

2 44, 12, 846
2 22, 6, 423
3 11, 3, 423
11, 1, 141

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 141 = 18612

Least Common Multiple of 44,12,846 with GCF Formula

Least Common Multiple of 44,12,846 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 44,12,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,12,846) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(44,12,846) x common factors =2 x 12 = 24

LCM(44,12,846) = ( 44 × 12 × 846 ) / 24

LCM(44,12,846) = 446688 / 24

LCM(44,12,846) = 18612


Lets's calculate GCF of 17,28,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18612/1

Therefore the LCM of Fractions 44/17,12/28,846/909 is 18612

Greatest Common Factor of 17,28,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,28,909 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 17,28,909 . The biggest common factor number is the GCF number.
So the greatest common factor 17,28,909 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 44/17, 12/28, 846/909

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 44/17, 12/28, 846/909?

Answer: LCM of Numerators as per given numbers 44/17, 12/28, 846/909 is

LCM of Numerators i.e. for 44,12,846 is 18612

GCF of denominators i.e. for 17,28,909 is 1.

Thus, LCM of Fractions is 18612.Finally, LCM of Fractions for 44/17, 12/28, 846/909 is 18612.