Least Common Multiple of 9823/478, 4746/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9823/478, 4746/364 quickly i.e. 23309979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9823/478, 4746/364 is 23309979.

LCM(9823/478, 4746/364) = 23309979

LCM of 9823/478, 4746/364

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 9823/478,4746/364

Given numbers are 9823/478,4746/364

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 9823,4746

Least Common Multiple of Numerators i.e. LCM of 9823,4746 is 46619958.

GCF of Denominators means GCF of 478,364 as per the given fractions.

GCF of 478,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9823,4746

LCM of Fractions 9823/478,4746/364 is 23309979

Given numbers has no common factors except 1. So, there LCM is their product i.e 46619958

Least Common Multiple of 9823,4746 with GCF Formula

Least Common Multiple of 9823,4746 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 9823,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9823,4746) = 1

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

GCF(9823,4746) x common factors =1 x 1 = 1

LCM(9823,4746) = ( 9823 × 4746 ) / 1

LCM(9823,4746) = 46619958 / 1

LCM(9823,4746) = 46619958


Lets's calculate GCF of 478,364

2 478, 364
239, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46619958/2

Therefore the LCM of Fractions 9823/478,4746/364 is 23309979

Greatest Common Factor of 478,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,364 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 478,364 . The biggest common factor number is the GCF number.
So the greatest common factor 478,364 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 9823/478, 4746/364

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 9823/478, 4746/364?

Answer: LCM of Numerators as per given numbers 9823/478, 4746/364 is

LCM of Numerators i.e. for 9823,4746 is 46619958

GCF of denominators i.e. for 478,364 is 2.

Thus, LCM of Fractions is 23309979.Finally, LCM of Fractions for 9823/478, 4746/364 is 23309979.