Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/84, 15/892, 47/904 quickly i.e. 2115/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/84, 15/892, 47/904 is 2115/4.
LCM(9/84, 15/892, 47/904) = 2115/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/84,15/892,47/904
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 9,15,47
Least Common Multiple of Numerators i.e. LCM of 9,15,47 is 2115.
GCF of Denominators means GCF of 84,892,904 as per the given fractions.
GCF of 84,892,904 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,15,47
3 | 9, 15, 47 |
3, 5, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 47 = 2115
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 9,15,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,15,47) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,15,47) x common factors =1 x 3 = 3
LCM(9,15,47) = ( 9 × 15 × 47 ) / 3
LCM(9,15,47) = 6345 / 3
LCM(9,15,47) = 2115
Lets's calculate GCF of 84,892,904
2 | 84, 892, 904 |
2 | 42, 446, 452 |
21, 223, 226 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2115/4
Therefore the LCM of Fractions 9/84,15/892,47/904 is 2115/4
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 84,892,904 . The biggest common factor number is the GCF number.
So the greatest common factor 84,892,904 is 4.
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 9/84, 15/892, 47/904?
Answer: LCM of Numerators as per given numbers 9/84, 15/892, 47/904 is
LCM of Numerators i.e. for 9,15,47 is 2115
GCF of denominators i.e. for 84,892,904 is 4.
Thus, LCM of Fractions is 2115/4.Finally, LCM of Fractions for 9/84, 15/892, 47/904 is 2115/4.