Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 300/80, 823/31, 390/467 quickly i.e. 3209700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 300/80, 823/31, 390/467 is 3209700.
LCM(300/80, 823/31, 390/467) = 3209700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 300/80,823/31,390/467
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 300,823,390
Least Common Multiple of Numerators i.e. LCM of 300,823,390 is 3209700.
GCF of Denominators means GCF of 80,31,467 as per the given fractions.
GCF of 80,31,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 300,823,390
2 | 300, 823, 390 |
3 | 150, 823, 195 |
5 | 50, 823, 65 |
10, 823, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 10 x 823 x 13 = 3209700
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 300,823,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,823,390) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(300,823,390) x common factors =1 x 30 = 30
LCM(300,823,390) = ( 300 × 823 × 390 ) / 30
LCM(300,823,390) = 96291000 / 30
LCM(300,823,390) = 3209700
Lets's calculate GCF of 80,31,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3209700/1
Therefore the LCM of Fractions 300/80,823/31,390/467 is 3209700
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 80,31,467 . The biggest common factor number is the GCF number.
So the greatest common factor 80,31,467 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 300/80, 823/31, 390/467?
Answer: LCM of Numerators as per given numbers 300/80, 823/31, 390/467 is
LCM of Numerators i.e. for 300,823,390 is 3209700
GCF of denominators i.e. for 80,31,467 is 1.
Thus, LCM of Fractions is 3209700.Finally, LCM of Fractions for 300/80, 823/31, 390/467 is 3209700.