Least Common Multiple of 873/45, 306/5394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/45, 306/5394 quickly i.e. 9894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/45, 306/5394 is 9894.

LCM(873/45, 306/5394) = 9894

LCM of 873/45, 306/5394

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 873/45,306/5394

Given numbers are 873/45,306/5394

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 873,306

Least Common Multiple of Numerators i.e. LCM of 873,306 is 29682.

GCF of Denominators means GCF of 45,5394 as per the given fractions.

GCF of 45,5394 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,306

LCM of Fractions 873/45,306/5394 is 9894

3 873, 306
3 291, 102
97, 34

∴ So the LCM of the given numbers is 3 x 3 x 97 x 34 = 29682

Least Common Multiple of 873,306 with GCF Formula

Least Common Multiple of 873,306 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 873,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,306) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(873,306) x common factors =9 x 1 = 9

LCM(873,306) = ( 873 × 306 ) / 9

LCM(873,306) = 267138 / 9

LCM(873,306) = 29682


Lets's calculate GCF of 45,5394

3 45, 5394
15, 1798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29682/3

Therefore the LCM of Fractions 873/45,306/5394 is 9894

Greatest Common Factor of 45,5394 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,5394 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Greatest Common Factor

We found the factors 45,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5394 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 873/45, 306/5394

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 873/45, 306/5394?

Answer: LCM of Numerators as per given numbers 873/45, 306/5394 is

LCM of Numerators i.e. for 873,306 is 29682

GCF of denominators i.e. for 45,5394 is 3.

Thus, LCM of Fractions is 9894.Finally, LCM of Fractions for 873/45, 306/5394 is 9894.