Least Common Multiple of 8671/508, 1568/5990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8671/508, 1568/5990 quickly i.e. 6798064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8671/508, 1568/5990 is 6798064.

LCM(8671/508, 1568/5990) = 6798064

LCM of 8671/508, 1568/5990

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 8671/508,1568/5990

Given numbers are 8671/508,1568/5990

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 8671,1568

Least Common Multiple of Numerators i.e. LCM of 8671,1568 is 13596128.

GCF of Denominators means GCF of 508,5990 as per the given fractions.

GCF of 508,5990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8671,1568

LCM of Fractions 8671/508,1568/5990 is 6798064

Given numbers has no common factors except 1. So, there LCM is their product i.e 13596128

Least Common Multiple of 8671,1568 with GCF Formula

Least Common Multiple of 8671,1568 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 8671,1568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8671,1568) = 1

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

GCF(8671,1568) x common factors =1 x 1 = 1

LCM(8671,1568) = ( 8671 × 1568 ) / 1

LCM(8671,1568) = 13596128 / 1

LCM(8671,1568) = 13596128


Lets's calculate GCF of 508,5990

2 508, 5990
254, 2995

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13596128/2

Therefore the LCM of Fractions 8671/508,1568/5990 is 6798064

Greatest Common Factor of 508,5990 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,5990 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1,2,5,10,599,1198,2995,5990

Greatest Common Factor

We found the factors 508,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 508,5990 is 2.


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 8671/508, 1568/5990

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 8671/508, 1568/5990?

Answer: LCM of Numerators as per given numbers 8671/508, 1568/5990 is

LCM of Numerators i.e. for 8671,1568 is 13596128

GCF of denominators i.e. for 508,5990 is 2.

Thus, LCM of Fractions is 6798064.Finally, LCM of Fractions for 8671/508, 1568/5990 is 6798064.