Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/204, 8584/5378 quickly i.e. 81548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/204, 8584/5378 is 81548.
LCM(76/204, 8584/5378) = 81548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/204,8584/5378
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 76,8584
Least Common Multiple of Numerators i.e. LCM of 76,8584 is 163096.
GCF of Denominators means GCF of 204,5378 as per the given fractions.
GCF of 204,5378 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,8584
2 | 76, 8584 |
2 | 38, 4292 |
19, 2146 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 2146 = 163096
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 76,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,8584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,8584) x common factors =4 x 1 = 4
LCM(76,8584) = ( 76 × 8584 ) / 4
LCM(76,8584) = 652384 / 4
LCM(76,8584) = 163096
Lets's calculate GCF of 204,5378
2 | 204, 5378 |
102, 2689 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163096/2
Therefore the LCM of Fractions 76/204,8584/5378 is 81548
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 5378
List of positive integer factors of 5378 that divides 5378 without a remainder.
1,2,2689,5378
Greatest Common Factor
We found the factors 204,5378 . The biggest common factor number is the GCF number.
So the greatest common factor 204,5378 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 76/204, 8584/5378?
Answer: LCM of Numerators as per given numbers 76/204, 8584/5378 is
LCM of Numerators i.e. for 76,8584 is 163096
GCF of denominators i.e. for 204,5378 is 2.
Thus, LCM of Fractions is 81548.Finally, LCM of Fractions for 76/204, 8584/5378 is 81548.