Least Common Multiple of 300/335, 831/894, 269/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/335, 831/894, 269/553 quickly i.e. 22353900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/335, 831/894, 269/553 is 22353900.

LCM(300/335, 831/894, 269/553) = 22353900

LCM of 300/335, 831/894, 269/553

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 300/335,831/894,269/553

Given numbers are 300/335,831/894,269/553

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 300,831,269

Least Common Multiple of Numerators i.e. LCM of 300,831,269 is 22353900.

GCF of Denominators means GCF of 335,894,553 as per the given fractions.

GCF of 335,894,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,831,269

LCM of Fractions 300/335,831/894,269/553 is 22353900

3 300, 831, 269
100, 277, 269

∴ So the LCM of the given numbers is 3 x 100 x 277 x 269 = 22353900

Least Common Multiple of 300,831,269 with GCF Formula

Least Common Multiple of 300,831,269 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 300,831,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,831,269) = 1

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

GCF(300,831,269) x common factors =1 x 3 = 3

LCM(300,831,269) = ( 300 × 831 × 269 ) / 3

LCM(300,831,269) = 67061700 / 3

LCM(300,831,269) = 22353900


Lets's calculate GCF of 335,894,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22353900/1

Therefore the LCM of Fractions 300/335,831/894,269/553 is 22353900

Greatest Common Factor of 335,894,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,894,553 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 335,894,553 . The biggest common factor number is the GCF number.
So the greatest common factor 335,894,553 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 300/335, 831/894, 269/553

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 300/335, 831/894, 269/553?

Answer: LCM of Numerators as per given numbers 300/335, 831/894, 269/553 is

LCM of Numerators i.e. for 300,831,269 is 22353900

GCF of denominators i.e. for 335,894,553 is 1.

Thus, LCM of Fractions is 22353900.Finally, LCM of Fractions for 300/335, 831/894, 269/553 is 22353900.