Least Common Multiple of 823/384, 9078/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/384, 9078/914 quickly i.e. 3735597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/384, 9078/914 is 3735597.

LCM(823/384, 9078/914) = 3735597

LCM of 823/384, 9078/914

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 823/384,9078/914

Given numbers are 823/384,9078/914

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 823,9078

Least Common Multiple of Numerators i.e. LCM of 823,9078 is 7471194.

GCF of Denominators means GCF of 384,914 as per the given fractions.

GCF of 384,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,9078

LCM of Fractions 823/384,9078/914 is 3735597

Given numbers has no common factors except 1. So, there LCM is their product i.e 7471194

Least Common Multiple of 823,9078 with GCF Formula

Least Common Multiple of 823,9078 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 823,9078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,9078) = 1

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

GCF(823,9078) x common factors =1 x 1 = 1

LCM(823,9078) = ( 823 × 9078 ) / 1

LCM(823,9078) = 7471194 / 1

LCM(823,9078) = 7471194


Lets's calculate GCF of 384,914

2 384, 914
192, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7471194/2

Therefore the LCM of Fractions 823/384,9078/914 is 3735597

Greatest Common Factor of 384,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,914 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 384,914 . The biggest common factor number is the GCF number.
So the greatest common factor 384,914 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 823/384, 9078/914

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 823/384, 9078/914?

Answer: LCM of Numerators as per given numbers 823/384, 9078/914 is

LCM of Numerators i.e. for 823,9078 is 7471194

GCF of denominators i.e. for 384,914 is 2.

Thus, LCM of Fractions is 3735597.Finally, LCM of Fractions for 823/384, 9078/914 is 3735597.