Least Common Multiple of 73/303, 63/540, 600/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/303, 63/540, 600/810 quickly i.e. 306600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/303, 63/540, 600/810 is 306600.

LCM(73/303, 63/540, 600/810) = 306600

LCM of 73/303, 63/540, 600/810

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 73/303,63/540,600/810

Given numbers are 73/303,63/540,600/810

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 73,63,600

Least Common Multiple of Numerators i.e. LCM of 73,63,600 is 919800.

GCF of Denominators means GCF of 303,540,810 as per the given fractions.

GCF of 303,540,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,63,600

LCM of Fractions 73/303,63/540,600/810 is 306600

3 73, 63, 600
73, 21, 200

∴ So the LCM of the given numbers is 3 x 73 x 21 x 200 = 919800

Least Common Multiple of 73,63,600 with GCF Formula

Least Common Multiple of 73,63,600 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 73,63,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,63,600) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,63,600) x common factors =1 x 3 = 3

LCM(73,63,600) = ( 73 × 63 × 600 ) / 3

LCM(73,63,600) = 2759400 / 3

LCM(73,63,600) = 919800


Lets's calculate GCF of 303,540,810

3 303, 540, 810
101, 180, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 919800/3

Therefore the LCM of Fractions 73/303,63/540,600/810 is 306600

Greatest Common Factor of 303,540,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,540,810 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 303,540,810 . The biggest common factor number is the GCF number.
So the greatest common factor 303,540,810 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 73/303, 63/540, 600/810

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 73/303, 63/540, 600/810?

Answer: LCM of Numerators as per given numbers 73/303, 63/540, 600/810 is

LCM of Numerators i.e. for 73,63,600 is 919800

GCF of denominators i.e. for 303,540,810 is 3.

Thus, LCM of Fractions is 306600.Finally, LCM of Fractions for 73/303, 63/540, 600/810 is 306600.