Least Common Multiple of 18/180, 73/486, 498/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/180, 73/486, 498/634 quickly i.e. 54531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/180, 73/486, 498/634 is 54531.

LCM(18/180, 73/486, 498/634) = 54531

LCM of 18/180, 73/486, 498/634

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 18/180,73/486,498/634

Given numbers are 18/180,73/486,498/634

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 18,73,498

Least Common Multiple of Numerators i.e. LCM of 18,73,498 is 109062.

GCF of Denominators means GCF of 180,486,634 as per the given fractions.

GCF of 180,486,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,73,498

LCM of Fractions 18/180,73/486,498/634 is 54531

2 18, 73, 498
3 9, 73, 249
3, 73, 83

∴ So the LCM of the given numbers is 2 x 3 x 3 x 73 x 83 = 109062

Least Common Multiple of 18,73,498 with GCF Formula

Least Common Multiple of 18,73,498 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 18,73,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,73,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,73,498) x common factors =1 x 6 = 6

LCM(18,73,498) = ( 18 × 73 × 498 ) / 6

LCM(18,73,498) = 654372 / 6

LCM(18,73,498) = 109062


Lets's calculate GCF of 180,486,634

2 180, 486, 634
90, 243, 317

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109062/2

Therefore the LCM of Fractions 18/180,73/486,498/634 is 54531

Greatest Common Factor of 180,486,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,486,634 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 180,486,634 . The biggest common factor number is the GCF number.
So the greatest common factor 180,486,634 is 2.


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 18/180, 73/486, 498/634

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 18/180, 73/486, 498/634?

Answer: LCM of Numerators as per given numbers 18/180, 73/486, 498/634 is

LCM of Numerators i.e. for 18,73,498 is 109062

GCF of denominators i.e. for 180,486,634 is 2.

Thus, LCM of Fractions is 54531.Finally, LCM of Fractions for 18/180, 73/486, 498/634 is 54531.