Least Common Multiple of 8322/864, 1765/9010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8322/864, 1765/9010 quickly i.e. 7344165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8322/864, 1765/9010 is 7344165.

LCM(8322/864, 1765/9010) = 7344165

LCM of 8322/864, 1765/9010

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 8322/864,1765/9010

Given numbers are 8322/864,1765/9010

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 8322,1765

Least Common Multiple of Numerators i.e. LCM of 8322,1765 is 14688330.

GCF of Denominators means GCF of 864,9010 as per the given fractions.

GCF of 864,9010 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8322,1765

LCM of Fractions 8322/864,1765/9010 is 7344165

Given numbers has no common factors except 1. So, there LCM is their product i.e 14688330

Least Common Multiple of 8322,1765 with GCF Formula

Least Common Multiple of 8322,1765 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 8322,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8322,1765) = 1

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

GCF(8322,1765) x common factors =1 x 1 = 1

LCM(8322,1765) = ( 8322 × 1765 ) / 1

LCM(8322,1765) = 14688330 / 1

LCM(8322,1765) = 14688330


Lets's calculate GCF of 864,9010

2 864, 9010
432, 4505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14688330/2

Therefore the LCM of Fractions 8322/864,1765/9010 is 7344165

Greatest Common Factor of 864,9010 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,9010 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors 864,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 864,9010 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 8322/864, 1765/9010

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 8322/864, 1765/9010?

Answer: LCM of Numerators as per given numbers 8322/864, 1765/9010 is

LCM of Numerators i.e. for 8322,1765 is 14688330

GCF of denominators i.e. for 864,9010 is 2.

Thus, LCM of Fractions is 7344165.Finally, LCM of Fractions for 8322/864, 1765/9010 is 7344165.