Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 990/515, 6680/9875 quickly i.e. 132264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 990/515, 6680/9875 is 132264.
LCM(990/515, 6680/9875) = 132264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 990/515,6680/9875
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 990,6680
Least Common Multiple of Numerators i.e. LCM of 990,6680 is 661320.
GCF of Denominators means GCF of 515,9875 as per the given fractions.
GCF of 515,9875 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 990,6680
2 | 990, 6680 |
5 | 495, 3340 |
99, 668 |
∴ So the LCM of the given numbers is 2 x 5 x 99 x 668 = 661320
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 990,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,6680) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(990,6680) x common factors =10 x 1 = 10
LCM(990,6680) = ( 990 × 6680 ) / 10
LCM(990,6680) = 6613200 / 10
LCM(990,6680) = 661320
Lets's calculate GCF of 515,9875
5 | 515, 9875 |
103, 1975 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 661320/5
Therefore the LCM of Fractions 990/515,6680/9875 is 132264
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 9875
List of positive integer factors of 9875 that divides 9875 without a remainder.
1,5,25,79,125,395,1975,9875
Greatest Common Factor
We found the factors 515,9875 . The biggest common factor number is the GCF number.
So the greatest common factor 515,9875 is 5.
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 990/515, 6680/9875?
Answer: LCM of Numerators as per given numbers 990/515, 6680/9875 is
LCM of Numerators i.e. for 990,6680 is 661320
GCF of denominators i.e. for 515,9875 is 5.
Thus, LCM of Fractions is 132264.Finally, LCM of Fractions for 990/515, 6680/9875 is 132264.