Least Common Multiple of 87/764, 3873/9661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/764, 3873/9661 quickly i.e. 112317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/764, 3873/9661 is 112317.

LCM(87/764, 3873/9661) = 112317

LCM of 87/764, 3873/9661

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 87/764,3873/9661

Given numbers are 87/764,3873/9661

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 87,3873

Least Common Multiple of Numerators i.e. LCM of 87,3873 is 112317.

GCF of Denominators means GCF of 764,9661 as per the given fractions.

GCF of 764,9661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,3873

LCM of Fractions 87/764,3873/9661 is 112317

3 87, 3873
29, 1291

∴ So the LCM of the given numbers is 3 x 29 x 1291 = 112317

Least Common Multiple of 87,3873 with GCF Formula

Least Common Multiple of 87,3873 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 87,3873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3873) = 3

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

GCF(87,3873) x common factors =3 x 1 = 3

LCM(87,3873) = ( 87 × 3873 ) / 3

LCM(87,3873) = 336951 / 3

LCM(87,3873) = 112317


Lets's calculate GCF of 764,9661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112317/1

Therefore the LCM of Fractions 87/764,3873/9661 is 112317

Greatest Common Factor of 764,9661 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,9661 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1,9661

Greatest Common Factor

We found the factors 764,9661 . The biggest common factor number is the GCF number.
So the greatest common factor 764,9661 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 87/764, 3873/9661

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 87/764, 3873/9661?

Answer: LCM of Numerators as per given numbers 87/764, 3873/9661 is

LCM of Numerators i.e. for 87,3873 is 112317

GCF of denominators i.e. for 764,9661 is 1.

Thus, LCM of Fractions is 112317.Finally, LCM of Fractions for 87/764, 3873/9661 is 112317.