Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 987/954, 5779/5676 quickly i.e. 5703873/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 987/954, 5779/5676 is 5703873/6.
LCM(987/954, 5779/5676) = 5703873/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 987/954,5779/5676
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 987,5779
Least Common Multiple of Numerators i.e. LCM of 987,5779 is 5703873.
GCF of Denominators means GCF of 954,5676 as per the given fractions.
GCF of 954,5676 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 987,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 5703873
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 987,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,5779) x common factors =1 x 1 = 1
LCM(987,5779) = ( 987 × 5779 ) / 1
LCM(987,5779) = 5703873 / 1
LCM(987,5779) = 5703873
Lets's calculate GCF of 954,5676
2 | 954, 5676 |
3 | 477, 2838 |
159, 946 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5703873/6
Therefore the LCM of Fractions 987/954,5779/5676 is 5703873/6
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 5676
List of positive integer factors of 5676 that divides 5676 without a remainder.
1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Greatest Common Factor
We found the factors 954,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5676 is 6.
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 987/954, 5779/5676?
Answer: LCM of Numerators as per given numbers 987/954, 5779/5676 is
LCM of Numerators i.e. for 987,5779 is 5703873
GCF of denominators i.e. for 954,5676 is 6.
Thus, LCM of Fractions is 5703873/6.Finally, LCM of Fractions for 987/954, 5779/5676 is 5703873/6.