Least Common Multiple of 8642/533, 7087/9659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8642/533, 7087/9659 quickly i.e. 61245854/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8642/533, 7087/9659 is 61245854/13.

LCM(8642/533, 7087/9659) = 61245854/13

LCM of 8642/533, 7087/9659

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 8642/533,7087/9659

Given numbers are 8642/533,7087/9659

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 8642,7087

Least Common Multiple of Numerators i.e. LCM of 8642,7087 is 61245854.

GCF of Denominators means GCF of 533,9659 as per the given fractions.

GCF of 533,9659 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8642,7087

LCM of Fractions 8642/533,7087/9659 is 61245854/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 61245854

Least Common Multiple of 8642,7087 with GCF Formula

Least Common Multiple of 8642,7087 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 8642,7087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8642,7087) = 1

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

GCF(8642,7087) x common factors =1 x 1 = 1

LCM(8642,7087) = ( 8642 × 7087 ) / 1

LCM(8642,7087) = 61245854 / 1

LCM(8642,7087) = 61245854


Lets's calculate GCF of 533,9659

13 533, 9659
41, 743

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61245854/13

Therefore the LCM of Fractions 8642/533,7087/9659 is 61245854/13

Greatest Common Factor of 533,9659 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,9659 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1,13,743,9659

Greatest Common Factor

We found the factors 533,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 533,9659 is 13.


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 8642/533, 7087/9659

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 8642/533, 7087/9659?

Answer: LCM of Numerators as per given numbers 8642/533, 7087/9659 is

LCM of Numerators i.e. for 8642,7087 is 61245854

GCF of denominators i.e. for 533,9659 is 13.

Thus, LCM of Fractions is 61245854/13.Finally, LCM of Fractions for 8642/533, 7087/9659 is 61245854/13.