Least Common Multiple of 20/912, 9828/2444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/912, 9828/2444 quickly i.e. 12285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/912, 9828/2444 is 12285.

LCM(20/912, 9828/2444) = 12285

LCM of 20/912, 9828/2444

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 20/912,9828/2444

Given numbers are 20/912,9828/2444

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 20,9828

Least Common Multiple of Numerators i.e. LCM of 20,9828 is 49140.

GCF of Denominators means GCF of 912,2444 as per the given fractions.

GCF of 912,2444 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,9828

LCM of Fractions 20/912,9828/2444 is 12285

2 20, 9828
2 10, 4914
5, 2457

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2457 = 49140

Least Common Multiple of 20,9828 with GCF Formula

Least Common Multiple of 20,9828 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 20,9828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9828) = 4

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

GCF(20,9828) x common factors =4 x 1 = 4

LCM(20,9828) = ( 20 × 9828 ) / 4

LCM(20,9828) = 196560 / 4

LCM(20,9828) = 49140


Lets's calculate GCF of 912,2444

2 912, 2444
2 456, 1222
228, 611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49140/4

Therefore the LCM of Fractions 20/912,9828/2444 is 12285

Greatest Common Factor of 912,2444 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,2444 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1,2,4,13,26,47,52,94,188,611,1222,2444

Greatest Common Factor

We found the factors 912,2444 . The biggest common factor number is the GCF number.
So the greatest common factor 912,2444 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 20/912, 9828/2444

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 20/912, 9828/2444?

Answer: LCM of Numerators as per given numbers 20/912, 9828/2444 is

LCM of Numerators i.e. for 20,9828 is 49140

GCF of denominators i.e. for 912,2444 is 4.

Thus, LCM of Fractions is 12285.Finally, LCM of Fractions for 20/912, 9828/2444 is 12285.