Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/938, 4536/6084 quickly i.e. 478548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/938, 4536/6084 is 478548.
LCM(844/938, 4536/6084) = 478548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/938,4536/6084
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 844,4536
Least Common Multiple of Numerators i.e. LCM of 844,4536 is 957096.
GCF of Denominators means GCF of 938,6084 as per the given fractions.
GCF of 938,6084 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,4536
2 | 844, 4536 |
2 | 422, 2268 |
211, 1134 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 1134 = 957096
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 844,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,4536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,4536) x common factors =4 x 1 = 4
LCM(844,4536) = ( 844 × 4536 ) / 4
LCM(844,4536) = 3828384 / 4
LCM(844,4536) = 957096
Lets's calculate GCF of 938,6084
2 | 938, 6084 |
469, 3042 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 957096/2
Therefore the LCM of Fractions 844/938,4536/6084 is 478548
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 6084
List of positive integer factors of 6084 that divides 6084 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Greatest Common Factor
We found the factors 938,6084 . The biggest common factor number is the GCF number.
So the greatest common factor 938,6084 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 844/938, 4536/6084?
Answer: LCM of Numerators as per given numbers 844/938, 4536/6084 is
LCM of Numerators i.e. for 844,4536 is 957096
GCF of denominators i.e. for 938,6084 is 2.
Thus, LCM of Fractions is 478548.Finally, LCM of Fractions for 844/938, 4536/6084 is 478548.