Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4002/159, 9940/2973 quickly i.e. 6629980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4002/159, 9940/2973 is 6629980.
LCM(4002/159, 9940/2973) = 6629980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4002/159,9940/2973
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 4002,9940
Least Common Multiple of Numerators i.e. LCM of 4002,9940 is 19889940.
GCF of Denominators means GCF of 159,2973 as per the given fractions.
GCF of 159,2973 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4002,9940
2 | 4002, 9940 |
2001, 4970 |
∴ So the LCM of the given numbers is 2 x 2001 x 4970 = 19889940
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 4002,9940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4002,9940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4002,9940) x common factors =2 x 1 = 2
LCM(4002,9940) = ( 4002 × 9940 ) / 2
LCM(4002,9940) = 39779880 / 2
LCM(4002,9940) = 19889940
Lets's calculate GCF of 159,2973
3 | 159, 2973 |
53, 991 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19889940/3
Therefore the LCM of Fractions 4002/159,9940/2973 is 6629980
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 2973
List of positive integer factors of 2973 that divides 2973 without a remainder.
1,3,991,2973
Greatest Common Factor
We found the factors 159,2973 . The biggest common factor number is the GCF number.
So the greatest common factor 159,2973 is 3.
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 4002/159, 9940/2973?
Answer: LCM of Numerators as per given numbers 4002/159, 9940/2973 is
LCM of Numerators i.e. for 4002,9940 is 19889940
GCF of denominators i.e. for 159,2973 is 3.
Thus, LCM of Fractions is 6629980.Finally, LCM of Fractions for 4002/159, 9940/2973 is 6629980.