Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9996/740, 1390/6666 quickly i.e. 3473610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9996/740, 1390/6666 is 3473610.
LCM(9996/740, 1390/6666) = 3473610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9996/740,1390/6666
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 9996,1390
Least Common Multiple of Numerators i.e. LCM of 9996,1390 is 6947220.
GCF of Denominators means GCF of 740,6666 as per the given fractions.
GCF of 740,6666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9996,1390
2 | 9996, 1390 |
4998, 695 |
∴ So the LCM of the given numbers is 2 x 4998 x 695 = 6947220
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 9996,1390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9996,1390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9996,1390) x common factors =2 x 1 = 2
LCM(9996,1390) = ( 9996 × 1390 ) / 2
LCM(9996,1390) = 13894440 / 2
LCM(9996,1390) = 6947220
Lets's calculate GCF of 740,6666
2 | 740, 6666 |
370, 3333 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6947220/2
Therefore the LCM of Fractions 9996/740,1390/6666 is 3473610
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 6666
List of positive integer factors of 6666 that divides 6666 without a remainder.
1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Greatest Common Factor
We found the factors 740,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 740,6666 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 9996/740, 1390/6666?
Answer: LCM of Numerators as per given numbers 9996/740, 1390/6666 is
LCM of Numerators i.e. for 9996,1390 is 6947220
GCF of denominators i.e. for 740,6666 is 2.
Thus, LCM of Fractions is 3473610.Finally, LCM of Fractions for 9996/740, 1390/6666 is 3473610.