Least Common Multiple of 844/873, 825/540, 570/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/873, 825/540, 570/144 quickly i.e. 13229700/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/873, 825/540, 570/144 is 13229700/9.

LCM(844/873, 825/540, 570/144) = 13229700/9

LCM of 844/873, 825/540, 570/144

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 844/873,825/540,570/144

Given numbers are 844/873,825/540,570/144

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 844,825,570

Least Common Multiple of Numerators i.e. LCM of 844,825,570 is 13229700.

GCF of Denominators means GCF of 873,540,144 as per the given fractions.

GCF of 873,540,144 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,825,570

LCM of Fractions 844/873,825/540,570/144 is 13229700/9

2 844, 825, 570
3 422, 825, 285
5 422, 275, 95
422, 55, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 422 x 55 x 19 = 13229700

Least Common Multiple of 844,825,570 with GCF Formula

Least Common Multiple of 844,825,570 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 844,825,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,825,570) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(844,825,570) x common factors =1 x 30 = 30

LCM(844,825,570) = ( 844 × 825 × 570 ) / 30

LCM(844,825,570) = 396891000 / 30

LCM(844,825,570) = 13229700


Lets's calculate GCF of 873,540,144

3 873, 540, 144
3 291, 180, 48
97, 60, 16

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13229700/9

Therefore the LCM of Fractions 844/873,825/540,570/144 is 13229700/9

Greatest Common Factor of 873,540,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,540,144 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 873,540,144 . The biggest common factor number is the GCF number.
So the greatest common factor 873,540,144 is 9.


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 844/873, 825/540, 570/144

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 844/873, 825/540, 570/144?

Answer: LCM of Numerators as per given numbers 844/873, 825/540, 570/144 is

LCM of Numerators i.e. for 844,825,570 is 13229700

GCF of denominators i.e. for 873,540,144 is 9.

Thus, LCM of Fractions is 13229700/9.Finally, LCM of Fractions for 844/873, 825/540, 570/144 is 13229700/9.