Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/996, 6064/8910 quickly i.e. 1679728/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/996, 6064/8910 is 1679728/6.
LCM(554/996, 6064/8910) = 1679728/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/996,6064/8910
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 554,6064
Least Common Multiple of Numerators i.e. LCM of 554,6064 is 1679728.
GCF of Denominators means GCF of 996,8910 as per the given fractions.
GCF of 996,8910 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,6064
2 | 554, 6064 |
277, 3032 |
∴ So the LCM of the given numbers is 2 x 277 x 3032 = 1679728
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 554,6064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,6064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,6064) x common factors =2 x 1 = 2
LCM(554,6064) = ( 554 × 6064 ) / 2
LCM(554,6064) = 3359456 / 2
LCM(554,6064) = 1679728
Lets's calculate GCF of 996,8910
2 | 996, 8910 |
3 | 498, 4455 |
166, 1485 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1679728/6
Therefore the LCM of Fractions 554/996,6064/8910 is 1679728/6
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 8910
List of positive integer factors of 8910 that divides 8910 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Greatest Common Factor
We found the factors 996,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 996,8910 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 554/996, 6064/8910?
Answer: LCM of Numerators as per given numbers 554/996, 6064/8910 is
LCM of Numerators i.e. for 554,6064 is 1679728
GCF of denominators i.e. for 996,8910 is 6.
Thus, LCM of Fractions is 1679728/6.Finally, LCM of Fractions for 554/996, 6064/8910 is 1679728/6.