Least Common Multiple of 311/54, 369/89, 100/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/54, 369/89, 100/281 quickly i.e. 11475900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/54, 369/89, 100/281 is 11475900.

LCM(311/54, 369/89, 100/281) = 11475900

LCM of 311/54, 369/89, 100/281

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 311/54,369/89,100/281

Given numbers are 311/54,369/89,100/281

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 311,369,100

Least Common Multiple of Numerators i.e. LCM of 311,369,100 is 11475900.

GCF of Denominators means GCF of 54,89,281 as per the given fractions.

GCF of 54,89,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,369,100

LCM of Fractions 311/54,369/89,100/281 is 11475900

Given numbers has no common factors except 1. So, there LCM is their product i.e 11475900

Least Common Multiple of 311,369,100 with GCF Formula

Least Common Multiple of 311,369,100 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 311,369,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,369,100) = 1

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

GCF(311,369,100) x common factors =1 x 1 = 1

LCM(311,369,100) = ( 311 × 369 × 100 ) / 1

LCM(311,369,100) = 11475900 / 1

LCM(311,369,100) = 11475900


Lets's calculate GCF of 54,89,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11475900/1

Therefore the LCM of Fractions 311/54,369/89,100/281 is 11475900

Greatest Common Factor of 54,89,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,89,281 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 281

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

1,281

Greatest Common Factor

We found the factors 54,89,281 . The biggest common factor number is the GCF number.
So the greatest common factor 54,89,281 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 311/54, 369/89, 100/281

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 311/54, 369/89, 100/281?

Answer: LCM of Numerators as per given numbers 311/54, 369/89, 100/281 is

LCM of Numerators i.e. for 311,369,100 is 11475900

GCF of denominators i.e. for 54,89,281 is 1.

Thus, LCM of Fractions is 11475900.Finally, LCM of Fractions for 311/54, 369/89, 100/281 is 11475900.