Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/476, 5721/9136 quickly i.e. 40047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/476, 5721/9136 is 40047.
LCM(84/476, 5721/9136) = 40047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/476,5721/9136
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 84,5721
Least Common Multiple of Numerators i.e. LCM of 84,5721 is 160188.
GCF of Denominators means GCF of 476,9136 as per the given fractions.
GCF of 476,9136 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,5721
3 | 84, 5721 |
28, 1907 |
∴ So the LCM of the given numbers is 3 x 28 x 1907 = 160188
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 84,5721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,5721) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,5721) x common factors =3 x 1 = 3
LCM(84,5721) = ( 84 × 5721 ) / 3
LCM(84,5721) = 480564 / 3
LCM(84,5721) = 160188
Lets's calculate GCF of 476,9136
2 | 476, 9136 |
2 | 238, 4568 |
119, 2284 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160188/4
Therefore the LCM of Fractions 84/476,5721/9136 is 40047
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 9136
List of positive integer factors of 9136 that divides 9136 without a remainder.
1,2,4,8,16,571,1142,2284,4568,9136
Greatest Common Factor
We found the factors 476,9136 . The biggest common factor number is the GCF number.
So the greatest common factor 476,9136 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 84/476, 5721/9136?
Answer: LCM of Numerators as per given numbers 84/476, 5721/9136 is
LCM of Numerators i.e. for 84,5721 is 160188
GCF of denominators i.e. for 476,9136 is 4.
Thus, LCM of Fractions is 40047.Finally, LCM of Fractions for 84/476, 5721/9136 is 40047.