Least Common Multiple of 53/898, 20/281, 323/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/898, 20/281, 323/909 quickly i.e. 342380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/898, 20/281, 323/909 is 342380.

LCM(53/898, 20/281, 323/909) = 342380

LCM of 53/898, 20/281, 323/909

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 53/898,20/281,323/909

Given numbers are 53/898,20/281,323/909

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 53,20,323

Least Common Multiple of Numerators i.e. LCM of 53,20,323 is 342380.

GCF of Denominators means GCF of 898,281,909 as per the given fractions.

GCF of 898,281,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,20,323

LCM of Fractions 53/898,20/281,323/909 is 342380

Given numbers has no common factors except 1. So, there LCM is their product i.e 342380

Least Common Multiple of 53,20,323 with GCF Formula

Least Common Multiple of 53,20,323 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 53,20,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,20,323) = 1

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

GCF(53,20,323) x common factors =1 x 1 = 1

LCM(53,20,323) = ( 53 × 20 × 323 ) / 1

LCM(53,20,323) = 342380 / 1

LCM(53,20,323) = 342380


Lets's calculate GCF of 898,281,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342380/1

Therefore the LCM of Fractions 53/898,20/281,323/909 is 342380

Greatest Common Factor of 898,281,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,281,909 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 898,281,909 . The biggest common factor number is the GCF number.
So the greatest common factor 898,281,909 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 53/898, 20/281, 323/909

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 53/898, 20/281, 323/909?

Answer: LCM of Numerators as per given numbers 53/898, 20/281, 323/909 is

LCM of Numerators i.e. for 53,20,323 is 342380

GCF of denominators i.e. for 898,281,909 is 1.

Thus, LCM of Fractions is 342380.Finally, LCM of Fractions for 53/898, 20/281, 323/909 is 342380.