Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/804, 888/180 quickly i.e. 21830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/804, 888/180 is 21830.
LCM(885/804, 888/180) = 21830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/804,888/180
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 885,888
Least Common Multiple of Numerators i.e. LCM of 885,888 is 261960.
GCF of Denominators means GCF of 804,180 as per the given fractions.
GCF of 804,180 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,888
3 | 885, 888 |
295, 296 |
∴ So the LCM of the given numbers is 3 x 295 x 296 = 261960
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 885,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,888) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(885,888) x common factors =3 x 1 = 3
LCM(885,888) = ( 885 × 888 ) / 3
LCM(885,888) = 785880 / 3
LCM(885,888) = 261960
Lets's calculate GCF of 804,180
2 | 804, 180 |
2 | 402, 90 |
3 | 201, 45 |
67, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261960/12
Therefore the LCM of Fractions 885/804,888/180 is 21830
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 804,180 . The biggest common factor number is the GCF number.
So the greatest common factor 804,180 is 12.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 885/804, 888/180?
Answer: LCM of Numerators as per given numbers 885/804, 888/180 is
LCM of Numerators i.e. for 885,888 is 261960
GCF of denominators i.e. for 804,180 is 12.
Thus, LCM of Fractions is 21830.Finally, LCM of Fractions for 885/804, 888/180 is 21830.