Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/447, 78/418, 47/878 quickly i.e. 10998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/447, 78/418, 47/878 is 10998.
LCM(9/447, 78/418, 47/878) = 10998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/447,78/418,47/878
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 9,78,47
Least Common Multiple of Numerators i.e. LCM of 9,78,47 is 10998.
GCF of Denominators means GCF of 447,418,878 as per the given fractions.
GCF of 447,418,878 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,78,47
3 | 9, 78, 47 |
3, 26, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 26 x 47 = 10998
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 9,78,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,78,47) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,78,47) x common factors =1 x 3 = 3
LCM(9,78,47) = ( 9 × 78 × 47 ) / 3
LCM(9,78,47) = 32994 / 3
LCM(9,78,47) = 10998
Lets's calculate GCF of 447,418,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10998/1
Therefore the LCM of Fractions 9/447,78/418,47/878 is 10998
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 447,418,878 . The biggest common factor number is the GCF number.
So the greatest common factor 447,418,878 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 9/447, 78/418, 47/878?
Answer: LCM of Numerators as per given numbers 9/447, 78/418, 47/878 is
LCM of Numerators i.e. for 9,78,47 is 10998
GCF of denominators i.e. for 447,418,878 is 1.
Thus, LCM of Fractions is 10998.Finally, LCM of Fractions for 9/447, 78/418, 47/878 is 10998.