Least Common Multiple of 24/542, 1396/9783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/542, 1396/9783 quickly i.e. 8376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/542, 1396/9783 is 8376.

LCM(24/542, 1396/9783) = 8376

LCM of 24/542, 1396/9783

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 24/542,1396/9783

Given numbers are 24/542,1396/9783

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 24,1396

Least Common Multiple of Numerators i.e. LCM of 24,1396 is 8376.

GCF of Denominators means GCF of 542,9783 as per the given fractions.

GCF of 542,9783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1396

LCM of Fractions 24/542,1396/9783 is 8376

2 24, 1396
2 12, 698
6, 349

∴ So the LCM of the given numbers is 2 x 2 x 6 x 349 = 8376

Least Common Multiple of 24,1396 with GCF Formula

Least Common Multiple of 24,1396 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 24,1396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1396) = 4

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

GCF(24,1396) x common factors =4 x 1 = 4

LCM(24,1396) = ( 24 × 1396 ) / 4

LCM(24,1396) = 33504 / 4

LCM(24,1396) = 8376


Lets's calculate GCF of 542,9783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8376/1

Therefore the LCM of Fractions 24/542,1396/9783 is 8376

Greatest Common Factor of 542,9783 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,9783 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors 542,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 542,9783 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 24/542, 1396/9783

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 24/542, 1396/9783?

Answer: LCM of Numerators as per given numbers 24/542, 1396/9783 is

LCM of Numerators i.e. for 24,1396 is 8376

GCF of denominators i.e. for 542,9783 is 1.

Thus, LCM of Fractions is 8376.Finally, LCM of Fractions for 24/542, 1396/9783 is 8376.