Least Common Multiple of 320/817, 9558/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/817, 9558/823 quickly i.e. 1529280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/817, 9558/823 is 1529280.

LCM(320/817, 9558/823) = 1529280

LCM of 320/817, 9558/823

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 320/817,9558/823

Given numbers are 320/817,9558/823

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 320,9558

Least Common Multiple of Numerators i.e. LCM of 320,9558 is 1529280.

GCF of Denominators means GCF of 817,823 as per the given fractions.

GCF of 817,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,9558

LCM of Fractions 320/817,9558/823 is 1529280

2 320, 9558
160, 4779

∴ So the LCM of the given numbers is 2 x 160 x 4779 = 1529280

Least Common Multiple of 320,9558 with GCF Formula

Least Common Multiple of 320,9558 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 320,9558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9558) = 2

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

GCF(320,9558) x common factors =2 x 1 = 2

LCM(320,9558) = ( 320 × 9558 ) / 2

LCM(320,9558) = 3058560 / 2

LCM(320,9558) = 1529280


Lets's calculate GCF of 817,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1529280/1

Therefore the LCM of Fractions 320/817,9558/823 is 1529280

Greatest Common Factor of 817,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,823 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 823

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

1,823

Greatest Common Factor

We found the factors 817,823 . The biggest common factor number is the GCF number.
So the greatest common factor 817,823 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 320/817, 9558/823

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 320/817, 9558/823?

Answer: LCM of Numerators as per given numbers 320/817, 9558/823 is

LCM of Numerators i.e. for 320,9558 is 1529280

GCF of denominators i.e. for 817,823 is 1.

Thus, LCM of Fractions is 1529280.Finally, LCM of Fractions for 320/817, 9558/823 is 1529280.