Least Common Multiple of 973/390, 590/275, 821/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/390, 590/275, 821/243 quickly i.e. 471311470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/390, 590/275, 821/243 is 471311470.

LCM(973/390, 590/275, 821/243) = 471311470

LCM of 973/390, 590/275, 821/243

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 973/390,590/275,821/243

Given numbers are 973/390,590/275,821/243

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 973,590,821

Least Common Multiple of Numerators i.e. LCM of 973,590,821 is 471311470.

GCF of Denominators means GCF of 390,275,243 as per the given fractions.

GCF of 390,275,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,590,821

LCM of Fractions 973/390,590/275,821/243 is 471311470

Given numbers has no common factors except 1. So, there LCM is their product i.e 471311470

Least Common Multiple of 973,590,821 with GCF Formula

Least Common Multiple of 973,590,821 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 973,590,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,590,821) = 1

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

GCF(973,590,821) x common factors =1 x 1 = 1

LCM(973,590,821) = ( 973 × 590 × 821 ) / 1

LCM(973,590,821) = 471311470 / 1

LCM(973,590,821) = 471311470


Lets's calculate GCF of 390,275,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471311470/1

Therefore the LCM of Fractions 973/390,590/275,821/243 is 471311470

Greatest Common Factor of 390,275,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,275,243 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 390,275,243 . The biggest common factor number is the GCF number.
So the greatest common factor 390,275,243 is 1.


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 973/390, 590/275, 821/243

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 973/390, 590/275, 821/243?

Answer: LCM of Numerators as per given numbers 973/390, 590/275, 821/243 is

LCM of Numerators i.e. for 973,590,821 is 471311470

GCF of denominators i.e. for 390,275,243 is 1.

Thus, LCM of Fractions is 471311470.Finally, LCM of Fractions for 973/390, 590/275, 821/243 is 471311470.