Least Common Multiple of 311/84, 4487/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/84, 4487/579 quickly i.e. 1395457/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/84, 4487/579 is 1395457/3.

LCM(311/84, 4487/579) = 1395457/3

LCM of 311/84, 4487/579

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 311/84,4487/579

Given numbers are 311/84,4487/579

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 311,4487

Least Common Multiple of Numerators i.e. LCM of 311,4487 is 1395457.

GCF of Denominators means GCF of 84,579 as per the given fractions.

GCF of 84,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,4487

LCM of Fractions 311/84,4487/579 is 1395457/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1395457

Least Common Multiple of 311,4487 with GCF Formula

Least Common Multiple of 311,4487 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 311,4487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,4487) = 1

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

GCF(311,4487) x common factors =1 x 1 = 1

LCM(311,4487) = ( 311 × 4487 ) / 1

LCM(311,4487) = 1395457 / 1

LCM(311,4487) = 1395457


Lets's calculate GCF of 84,579

3 84, 579
28, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1395457/3

Therefore the LCM of Fractions 311/84,4487/579 is 1395457/3

Greatest Common Factor of 84,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,579 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 84,579 . The biggest common factor number is the GCF number.
So the greatest common factor 84,579 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 311/84, 4487/579

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 311/84, 4487/579?

Answer: LCM of Numerators as per given numbers 311/84, 4487/579 is

LCM of Numerators i.e. for 311,4487 is 1395457

GCF of denominators i.e. for 84,579 is 3.

Thus, LCM of Fractions is 1395457/3.Finally, LCM of Fractions for 311/84, 4487/579 is 1395457/3.