Least Common Multiple of 54/453, 14/603, 793/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/453, 14/603, 793/861 quickly i.e. 99918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/453, 14/603, 793/861 is 99918.

LCM(54/453, 14/603, 793/861) = 99918

LCM of 54/453, 14/603, 793/861

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 54/453,14/603,793/861

Given numbers are 54/453,14/603,793/861

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 54,14,793

Least Common Multiple of Numerators i.e. LCM of 54,14,793 is 299754.

GCF of Denominators means GCF of 453,603,861 as per the given fractions.

GCF of 453,603,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,14,793

LCM of Fractions 54/453,14/603,793/861 is 99918

2 54, 14, 793
27, 7, 793

∴ So the LCM of the given numbers is 2 x 27 x 7 x 793 = 299754

Least Common Multiple of 54,14,793 with GCF Formula

Least Common Multiple of 54,14,793 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 54,14,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,14,793) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,14,793) x common factors =1 x 2 = 2

LCM(54,14,793) = ( 54 × 14 × 793 ) / 2

LCM(54,14,793) = 599508 / 2

LCM(54,14,793) = 299754


Lets's calculate GCF of 453,603,861

3 453, 603, 861
151, 201, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299754/3

Therefore the LCM of Fractions 54/453,14/603,793/861 is 99918

Greatest Common Factor of 453,603,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,603,861 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 453,603,861 . The biggest common factor number is the GCF number.
So the greatest common factor 453,603,861 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 54/453, 14/603, 793/861

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 54/453, 14/603, 793/861?

Answer: LCM of Numerators as per given numbers 54/453, 14/603, 793/861 is

LCM of Numerators i.e. for 54,14,793 is 299754

GCF of denominators i.e. for 453,603,861 is 3.

Thus, LCM of Fractions is 99918.Finally, LCM of Fractions for 54/453, 14/603, 793/861 is 99918.