Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/225, 31/216, 899/882 quickly i.e. 71920/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/225, 31/216, 899/882 is 71920/9.
LCM(80/225, 31/216, 899/882) = 71920/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/225,31/216,899/882
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 80,31,899
Least Common Multiple of Numerators i.e. LCM of 80,31,899 is 71920.
GCF of Denominators means GCF of 225,216,882 as per the given fractions.
GCF of 225,216,882 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,31,899
31 | 80, 31, 899 |
80, 1, 29 |
∴ So the LCM of the given numbers is 31 x 80 x 1 x 29 = 71920
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 80,31,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,31,899) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(80,31,899) x common factors =1 x 31 = 31
LCM(80,31,899) = ( 80 × 31 × 899 ) / 31
LCM(80,31,899) = 2229520 / 31
LCM(80,31,899) = 71920
Lets's calculate GCF of 225,216,882
3 | 225, 216, 882 |
3 | 75, 72, 294 |
25, 24, 98 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71920/9
Therefore the LCM of Fractions 80/225,31/216,899/882 is 71920/9
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 225,216,882 . The biggest common factor number is the GCF number.
So the greatest common factor 225,216,882 is 9.
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 80/225, 31/216, 899/882?
Answer: LCM of Numerators as per given numbers 80/225, 31/216, 899/882 is
LCM of Numerators i.e. for 80,31,899 is 71920
GCF of denominators i.e. for 225,216,882 is 9.
Thus, LCM of Fractions is 71920/9.Finally, LCM of Fractions for 80/225, 31/216, 899/882 is 71920/9.