Least Common Multiple of 2811/465, 6521/7699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2811/465, 6521/7699 quickly i.e. 18330531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2811/465, 6521/7699 is 18330531.

LCM(2811/465, 6521/7699) = 18330531

LCM of 2811/465, 6521/7699

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 2811/465,6521/7699

Given numbers are 2811/465,6521/7699

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 2811,6521

Least Common Multiple of Numerators i.e. LCM of 2811,6521 is 18330531.

GCF of Denominators means GCF of 465,7699 as per the given fractions.

GCF of 465,7699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2811,6521

LCM of Fractions 2811/465,6521/7699 is 18330531

Given numbers has no common factors except 1. So, there LCM is their product i.e 18330531

Least Common Multiple of 2811,6521 with GCF Formula

Least Common Multiple of 2811,6521 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 2811,6521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2811,6521) = 1

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

GCF(2811,6521) x common factors =1 x 1 = 1

LCM(2811,6521) = ( 2811 × 6521 ) / 1

LCM(2811,6521) = 18330531 / 1

LCM(2811,6521) = 18330531


Lets's calculate GCF of 465,7699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18330531/1

Therefore the LCM of Fractions 2811/465,6521/7699 is 18330531

Greatest Common Factor of 465,7699 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,7699 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1,7699

Greatest Common Factor

We found the factors 465,7699 . The biggest common factor number is the GCF number.
So the greatest common factor 465,7699 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 2811/465, 6521/7699

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 2811/465, 6521/7699?

Answer: LCM of Numerators as per given numbers 2811/465, 6521/7699 is

LCM of Numerators i.e. for 2811,6521 is 18330531

GCF of denominators i.e. for 465,7699 is 1.

Thus, LCM of Fractions is 18330531.Finally, LCM of Fractions for 2811/465, 6521/7699 is 18330531.