Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9936/195, 2676/669 quickly i.e. 738576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9936/195, 2676/669 is 738576.
LCM(9936/195, 2676/669) = 738576
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9936/195,2676/669
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 9936,2676
Least Common Multiple of Numerators i.e. LCM of 9936,2676 is 2215728.
GCF of Denominators means GCF of 195,669 as per the given fractions.
GCF of 195,669 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9936,2676
2 | 9936, 2676 |
2 | 4968, 1338 |
3 | 2484, 669 |
828, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 828 x 223 = 2215728
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 9936,2676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9936,2676) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(9936,2676) x common factors =12 x 1 = 12
LCM(9936,2676) = ( 9936 × 2676 ) / 12
LCM(9936,2676) = 26588736 / 12
LCM(9936,2676) = 2215728
Lets's calculate GCF of 195,669
3 | 195, 669 |
65, 223 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2215728/3
Therefore the LCM of Fractions 9936/195,2676/669 is 738576
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 195,669 . The biggest common factor number is the GCF number.
So the greatest common factor 195,669 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 9936/195, 2676/669?
Answer: LCM of Numerators as per given numbers 9936/195, 2676/669 is
LCM of Numerators i.e. for 9936,2676 is 2215728
GCF of denominators i.e. for 195,669 is 3.
Thus, LCM of Fractions is 738576.Finally, LCM of Fractions for 9936/195, 2676/669 is 738576.