Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/886, 233/642, 884/494 quickly i.e. 4840342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/886, 233/642, 884/494 is 4840342.
LCM(47/886, 233/642, 884/494) = 4840342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/886,233/642,884/494
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 47,233,884
Least Common Multiple of Numerators i.e. LCM of 47,233,884 is 9680684.
GCF of Denominators means GCF of 886,642,494 as per the given fractions.
GCF of 886,642,494 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,233,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 9680684
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 47,233,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,233,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,233,884) x common factors =1 x 1 = 1
LCM(47,233,884) = ( 47 × 233 × 884 ) / 1
LCM(47,233,884) = 9680684 / 1
LCM(47,233,884) = 9680684
Lets's calculate GCF of 886,642,494
2 | 886, 642, 494 |
443, 321, 247 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9680684/2
Therefore the LCM of Fractions 47/886,233/642,884/494 is 4840342
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 886,642,494 . The biggest common factor number is the GCF number.
So the greatest common factor 886,642,494 is 2.
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 47/886, 233/642, 884/494?
Answer: LCM of Numerators as per given numbers 47/886, 233/642, 884/494 is
LCM of Numerators i.e. for 47,233,884 is 9680684
GCF of denominators i.e. for 886,642,494 is 2.
Thus, LCM of Fractions is 4840342.Finally, LCM of Fractions for 47/886, 233/642, 884/494 is 4840342.