Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9545/106, 2666/9964 quickly i.e. 25446970/106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9545/106, 2666/9964 is 25446970/106.
LCM(9545/106, 2666/9964) = 25446970/106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9545/106,2666/9964
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 9545,2666
Least Common Multiple of Numerators i.e. LCM of 9545,2666 is 25446970.
GCF of Denominators means GCF of 106,9964 as per the given fractions.
GCF of 106,9964 is 106 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9545,2666
Given numbers has no common factors except 1. So, there LCM is their product i.e 25446970
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 9545,2666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9545,2666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9545,2666) x common factors =1 x 1 = 1
LCM(9545,2666) = ( 9545 × 2666 ) / 1
LCM(9545,2666) = 25446970 / 1
LCM(9545,2666) = 25446970
Lets's calculate GCF of 106,9964
2 | 106, 9964 |
53 | 53, 4982 |
1, 94 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25446970/106
Therefore the LCM of Fractions 9545/106,2666/9964 is 25446970/106
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 9964
List of positive integer factors of 9964 that divides 9964 without a remainder.
1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors 106,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 106,9964 is 106.
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 9545/106, 2666/9964?
Answer: LCM of Numerators as per given numbers 9545/106, 2666/9964 is
LCM of Numerators i.e. for 9545,2666 is 25446970
GCF of denominators i.e. for 106,9964 is 106.
Thus, LCM of Fractions is 25446970/106.Finally, LCM of Fractions for 9545/106, 2666/9964 is 25446970/106.