Least Common Multiple of 24/106, 4974/9324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/106, 4974/9324 quickly i.e. 9948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/106, 4974/9324 is 9948.

LCM(24/106, 4974/9324) = 9948

LCM of 24/106, 4974/9324

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 24/106,4974/9324

Given numbers are 24/106,4974/9324

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 24,4974

Least Common Multiple of Numerators i.e. LCM of 24,4974 is 19896.

GCF of Denominators means GCF of 106,9324 as per the given fractions.

GCF of 106,9324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,4974

LCM of Fractions 24/106,4974/9324 is 9948

2 24, 4974
3 12, 2487
4, 829

∴ So the LCM of the given numbers is 2 x 3 x 4 x 829 = 19896

Least Common Multiple of 24,4974 with GCF Formula

Least Common Multiple of 24,4974 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 24,4974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,4974) = 6

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

GCF(24,4974) x common factors =6 x 1 = 6

LCM(24,4974) = ( 24 × 4974 ) / 6

LCM(24,4974) = 119376 / 6

LCM(24,4974) = 19896


Lets's calculate GCF of 106,9324

2 106, 9324
53, 4662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19896/2

Therefore the LCM of Fractions 24/106,4974/9324 is 9948

Greatest Common Factor of 106,9324 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,9324 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

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 106,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 106,9324 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 24/106, 4974/9324

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 24/106, 4974/9324?

Answer: LCM of Numerators as per given numbers 24/106, 4974/9324 is

LCM of Numerators i.e. for 24,4974 is 19896

GCF of denominators i.e. for 106,9324 is 2.

Thus, LCM of Fractions is 9948.Finally, LCM of Fractions for 24/106, 4974/9324 is 9948.