Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1516/817, 9080/6996 quickly i.e. 3441320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1516/817, 9080/6996 is 3441320.
LCM(1516/817, 9080/6996) = 3441320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1516/817,9080/6996
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 1516,9080
Least Common Multiple of Numerators i.e. LCM of 1516,9080 is 3441320.
GCF of Denominators means GCF of 817,6996 as per the given fractions.
GCF of 817,6996 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1516,9080
2 | 1516, 9080 |
2 | 758, 4540 |
379, 2270 |
∴ So the LCM of the given numbers is 2 x 2 x 379 x 2270 = 3441320
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 1516,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1516,9080) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(1516,9080) x common factors =4 x 1 = 4
LCM(1516,9080) = ( 1516 × 9080 ) / 4
LCM(1516,9080) = 13765280 / 4
LCM(1516,9080) = 3441320
Lets's calculate GCF of 817,6996
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3441320/1
Therefore the LCM of Fractions 1516/817,9080/6996 is 3441320
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 6996
List of positive integer factors of 6996 that divides 6996 without a remainder.
1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 817,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 817,6996 is 1.
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 1516/817, 9080/6996?
Answer: LCM of Numerators as per given numbers 1516/817, 9080/6996 is
LCM of Numerators i.e. for 1516,9080 is 3441320
GCF of denominators i.e. for 817,6996 is 1.
Thus, LCM of Fractions is 3441320.Finally, LCM of Fractions for 1516/817, 9080/6996 is 3441320.