Least Common Multiple of 18/294, 2673/4813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/294, 2673/4813 quickly i.e. 5346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/294, 2673/4813 is 5346.

LCM(18/294, 2673/4813) = 5346

LCM of 18/294, 2673/4813

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 18/294,2673/4813

Given numbers are 18/294,2673/4813

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 18,2673

Least Common Multiple of Numerators i.e. LCM of 18,2673 is 5346.

GCF of Denominators means GCF of 294,4813 as per the given fractions.

GCF of 294,4813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,2673

LCM of Fractions 18/294,2673/4813 is 5346

3 18, 2673
3 6, 891
2, 297

∴ So the LCM of the given numbers is 3 x 3 x 2 x 297 = 5346

Least Common Multiple of 18,2673 with GCF Formula

Least Common Multiple of 18,2673 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 18,2673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,2673) = 9

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

GCF(18,2673) x common factors =9 x 1 = 9

LCM(18,2673) = ( 18 × 2673 ) / 9

LCM(18,2673) = 48114 / 9

LCM(18,2673) = 5346


Lets's calculate GCF of 294,4813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5346/1

Therefore the LCM of Fractions 18/294,2673/4813 is 5346

Greatest Common Factor of 294,4813 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,4813 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 4813

List of positive integer factors of 4813 that divides 4813 without a remainder.

1,4813

Greatest Common Factor

We found the factors 294,4813 . The biggest common factor number is the GCF number.
So the greatest common factor 294,4813 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/294, 2673/4813

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 18/294, 2673/4813?

Answer: LCM of Numerators as per given numbers 18/294, 2673/4813 is

LCM of Numerators i.e. for 18,2673 is 5346

GCF of denominators i.e. for 294,4813 is 1.

Thus, LCM of Fractions is 5346.Finally, LCM of Fractions for 18/294, 2673/4813 is 5346.