Least Common Multiple of 3987/599, 5171/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3987/599, 5171/514 quickly i.e. 20616777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3987/599, 5171/514 is 20616777.

LCM(3987/599, 5171/514) = 20616777

LCM of 3987/599, 5171/514

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 3987/599,5171/514

Given numbers are 3987/599,5171/514

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 3987,5171

Least Common Multiple of Numerators i.e. LCM of 3987,5171 is 20616777.

GCF of Denominators means GCF of 599,514 as per the given fractions.

GCF of 599,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3987,5171

LCM of Fractions 3987/599,5171/514 is 20616777

Given numbers has no common factors except 1. So, there LCM is their product i.e 20616777

Least Common Multiple of 3987,5171 with GCF Formula

Least Common Multiple of 3987,5171 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 3987,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3987,5171) = 1

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

GCF(3987,5171) x common factors =1 x 1 = 1

LCM(3987,5171) = ( 3987 × 5171 ) / 1

LCM(3987,5171) = 20616777 / 1

LCM(3987,5171) = 20616777


Lets's calculate GCF of 599,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20616777/1

Therefore the LCM of Fractions 3987/599,5171/514 is 20616777

Greatest Common Factor of 599,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,514 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 599,514 . The biggest common factor number is the GCF number.
So the greatest common factor 599,514 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 3987/599, 5171/514

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 3987/599, 5171/514?

Answer: LCM of Numerators as per given numbers 3987/599, 5171/514 is

LCM of Numerators i.e. for 3987,5171 is 20616777

GCF of denominators i.e. for 599,514 is 1.

Thus, LCM of Fractions is 20616777.Finally, LCM of Fractions for 3987/599, 5171/514 is 20616777.