Least Common Multiple of 821/96, 165/1071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/96, 165/1071 quickly i.e. 45155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/96, 165/1071 is 45155.

LCM(821/96, 165/1071) = 45155

LCM of 821/96, 165/1071

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 821/96,165/1071

Given numbers are 821/96,165/1071

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 821,165

Least Common Multiple of Numerators i.e. LCM of 821,165 is 135465.

GCF of Denominators means GCF of 96,1071 as per the given fractions.

GCF of 96,1071 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,165

LCM of Fractions 821/96,165/1071 is 45155

Given numbers has no common factors except 1. So, there LCM is their product i.e 135465

Least Common Multiple of 821,165 with GCF Formula

Least Common Multiple of 821,165 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 821,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,165) = 1

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

GCF(821,165) x common factors =1 x 1 = 1

LCM(821,165) = ( 821 × 165 ) / 1

LCM(821,165) = 135465 / 1

LCM(821,165) = 135465


Lets's calculate GCF of 96,1071

3 96, 1071
32, 357

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135465/3

Therefore the LCM of Fractions 821/96,165/1071 is 45155

Greatest Common Factor of 96,1071 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1071 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1,3,7,9,17,21,51,63,119,153,357,1071

Greatest Common Factor

We found the factors 96,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1071 is 3.


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 821/96, 165/1071

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 821/96, 165/1071?

Answer: LCM of Numerators as per given numbers 821/96, 165/1071 is

LCM of Numerators i.e. for 821,165 is 135465

GCF of denominators i.e. for 96,1071 is 3.

Thus, LCM of Fractions is 45155.Finally, LCM of Fractions for 821/96, 165/1071 is 45155.