Least Common Multiple of 9408/823, 3520/2335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9408/823, 3520/2335 quickly i.e. 517440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9408/823, 3520/2335 is 517440.

LCM(9408/823, 3520/2335) = 517440

LCM of 9408/823, 3520/2335

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 9408/823,3520/2335

Given numbers are 9408/823,3520/2335

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 9408,3520

Least Common Multiple of Numerators i.e. LCM of 9408,3520 is 517440.

GCF of Denominators means GCF of 823,2335 as per the given fractions.

GCF of 823,2335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9408,3520

LCM of Fractions 9408/823,3520/2335 is 517440

2 9408, 3520
2 4704, 1760
2 2352, 880
2 1176, 440
2 588, 220
2 294, 110
147, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 147 x 55 = 517440

Least Common Multiple of 9408,3520 with GCF Formula

Least Common Multiple of 9408,3520 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 9408,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9408,3520) = 64

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

GCF(9408,3520) x common factors =64 x 1 = 64

LCM(9408,3520) = ( 9408 × 3520 ) / 64

LCM(9408,3520) = 33116160 / 64

LCM(9408,3520) = 517440


Lets's calculate GCF of 823,2335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517440/1

Therefore the LCM of Fractions 9408/823,3520/2335 is 517440

Greatest Common Factor of 823,2335 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,2335 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 2335

List of positive integer factors of 2335 that divides 2335 without a remainder.

1,5,467,2335

Greatest Common Factor

We found the factors 823,2335 . The biggest common factor number is the GCF number.
So the greatest common factor 823,2335 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 9408/823, 3520/2335

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 9408/823, 3520/2335?

Answer: LCM of Numerators as per given numbers 9408/823, 3520/2335 is

LCM of Numerators i.e. for 9408,3520 is 517440

GCF of denominators i.e. for 823,2335 is 1.

Thus, LCM of Fractions is 517440.Finally, LCM of Fractions for 9408/823, 3520/2335 is 517440.