Least Common Multiple of 73/23, 36/42, 18/10, 44/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/23, 36/42, 18/10, 44/706 quickly i.e. 28908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/23, 36/42, 18/10, 44/706 is 28908.

LCM(73/23, 36/42, 18/10, 44/706) = 28908

LCM of 73/23, 36/42, 18/10, 44/706

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 73/23,36/42,18/10,44/706

Given numbers are 73/23,36/42,18/10,44/706

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 73,36,18,44

Least Common Multiple of Numerators i.e. LCM of 73,36,18,44 is 28908.

GCF of Denominators means GCF of 23,42,10,706 as per the given fractions.

GCF of 23,42,10,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,36,18,44

LCM of Fractions 73/23,36/42,18/10,44/706 is 28908

2 73, 36, 18, 44
2 73, 18, 9, 22
3 73, 9, 9, 11
3 73, 3, 3, 11
73, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 73 x 1 x 1 x 11 = 28908

Least Common Multiple of 73,36,18,44 with GCF Formula

Least Common Multiple of 73,36,18,44 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 73,36,18,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,36,18,44) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(73,36,18,44) x common factors =1 x 72 = 72

LCM(73,36,18,44) = ( 73 × 36 × 18 × 44 ) / 72

LCM(73,36,18,44) = 2081376 / 72

LCM(73,36,18,44) = 28908


Lets's calculate GCF of 23,42,10,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28908/1

Therefore the LCM of Fractions 73/23,36/42,18/10,44/706 is 28908

Greatest Common Factor of 23,42,10,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,42,10,706 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 23,42,10,706 . The biggest common factor number is the GCF number.
So the greatest common factor 23,42,10,706 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 73/23, 36/42, 18/10, 44/706

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 73/23, 36/42, 18/10, 44/706?

Answer: LCM of Numerators as per given numbers 73/23, 36/42, 18/10, 44/706 is

LCM of Numerators i.e. for 73,36,18,44 is 28908

GCF of denominators i.e. for 23,42,10,706 is 1.

Thus, LCM of Fractions is 28908.Finally, LCM of Fractions for 73/23, 36/42, 18/10, 44/706 is 28908.