Least Common Multiple of 7423/164, 1084/9324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7423/164, 1084/9324 quickly i.e. 2011633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7423/164, 1084/9324 is 2011633.

LCM(7423/164, 1084/9324) = 2011633

LCM of 7423/164, 1084/9324

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 7423/164,1084/9324

Given numbers are 7423/164,1084/9324

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 7423,1084

Least Common Multiple of Numerators i.e. LCM of 7423,1084 is 8046532.

GCF of Denominators means GCF of 164,9324 as per the given fractions.

GCF of 164,9324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7423,1084

LCM of Fractions 7423/164,1084/9324 is 2011633

Given numbers has no common factors except 1. So, there LCM is their product i.e 8046532

Least Common Multiple of 7423,1084 with GCF Formula

Least Common Multiple of 7423,1084 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 7423,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7423,1084) = 1

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

GCF(7423,1084) x common factors =1 x 1 = 1

LCM(7423,1084) = ( 7423 × 1084 ) / 1

LCM(7423,1084) = 8046532 / 1

LCM(7423,1084) = 8046532


Lets's calculate GCF of 164,9324

2 164, 9324
2 82, 4662
41, 2331

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8046532/4

Therefore the LCM of Fractions 7423/164,1084/9324 is 2011633

Greatest Common Factor of 164,9324 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,9324 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324

Greatest Common Factor

We found the factors 164,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 164,9324 is 4.


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 7423/164, 1084/9324

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 7423/164, 1084/9324?

Answer: LCM of Numerators as per given numbers 7423/164, 1084/9324 is

LCM of Numerators i.e. for 7423,1084 is 8046532

GCF of denominators i.e. for 164,9324 is 4.

Thus, LCM of Fractions is 2011633.Finally, LCM of Fractions for 7423/164, 1084/9324 is 2011633.