Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/891, 235/282, 180/875 quickly i.e. 67680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/891, 235/282, 180/875 is 67680.
LCM(32/891, 235/282, 180/875) = 67680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/891,235/282,180/875
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 32,235,180
Least Common Multiple of Numerators i.e. LCM of 32,235,180 is 67680.
GCF of Denominators means GCF of 891,282,875 as per the given fractions.
GCF of 891,282,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,235,180
2 | 32, 235, 180 |
2 | 16, 235, 90 |
5 | 8, 235, 45 |
8, 47, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 8 x 47 x 9 = 67680
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 32,235,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,235,180) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(32,235,180) x common factors =1 x 20 = 20
LCM(32,235,180) = ( 32 × 235 × 180 ) / 20
LCM(32,235,180) = 1353600 / 20
LCM(32,235,180) = 67680
Lets's calculate GCF of 891,282,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67680/1
Therefore the LCM of Fractions 32/891,235/282,180/875 is 67680
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 891,282,875 . The biggest common factor number is the GCF number.
So the greatest common factor 891,282,875 is 1.
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 32/891, 235/282, 180/875?
Answer: LCM of Numerators as per given numbers 32/891, 235/282, 180/875 is
LCM of Numerators i.e. for 32,235,180 is 67680
GCF of denominators i.e. for 891,282,875 is 1.
Thus, LCM of Fractions is 67680.Finally, LCM of Fractions for 32/891, 235/282, 180/875 is 67680.