Least Common Multiple of 720/561, 4912/9845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/561, 4912/9845 quickly i.e. 221040/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/561, 4912/9845 is 221040/11.

LCM(720/561, 4912/9845) = 221040/11

LCM of 720/561, 4912/9845

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 720/561,4912/9845

Given numbers are 720/561,4912/9845

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 720,4912

Least Common Multiple of Numerators i.e. LCM of 720,4912 is 221040.

GCF of Denominators means GCF of 561,9845 as per the given fractions.

GCF of 561,9845 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,4912

LCM of Fractions 720/561,4912/9845 is 221040/11

2 720, 4912
2 360, 2456
2 180, 1228
2 90, 614
45, 307

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 45 x 307 = 221040

Least Common Multiple of 720,4912 with GCF Formula

Least Common Multiple of 720,4912 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 720,4912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,4912) = 16

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

GCF(720,4912) x common factors =16 x 1 = 16

LCM(720,4912) = ( 720 × 4912 ) / 16

LCM(720,4912) = 3536640 / 16

LCM(720,4912) = 221040


Lets's calculate GCF of 561,9845

11 561, 9845
51, 895

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221040/11

Therefore the LCM of Fractions 720/561,4912/9845 is 221040/11

Greatest Common Factor of 561,9845 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,9845 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 9845

List of positive integer factors of 9845 that divides 9845 without a remainder.

1,5,11,55,179,895,1969,9845

Greatest Common Factor

We found the factors 561,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 561,9845 is 11.


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 720/561, 4912/9845

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 720/561, 4912/9845?

Answer: LCM of Numerators as per given numbers 720/561, 4912/9845 is

LCM of Numerators i.e. for 720,4912 is 221040

GCF of denominators i.e. for 561,9845 is 11.

Thus, LCM of Fractions is 221040/11.Finally, LCM of Fractions for 720/561, 4912/9845 is 221040/11.