Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6651/296, 5268/8852 quickly i.e. 2919789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6651/296, 5268/8852 is 2919789.
LCM(6651/296, 5268/8852) = 2919789
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6651/296,5268/8852
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 6651,5268
Least Common Multiple of Numerators i.e. LCM of 6651,5268 is 11679156.
GCF of Denominators means GCF of 296,8852 as per the given fractions.
GCF of 296,8852 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6651,5268
3 | 6651, 5268 |
2217, 1756 |
∴ So the LCM of the given numbers is 3 x 2217 x 1756 = 11679156
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 6651,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6651,5268) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6651,5268) x common factors =3 x 1 = 3
LCM(6651,5268) = ( 6651 × 5268 ) / 3
LCM(6651,5268) = 35037468 / 3
LCM(6651,5268) = 11679156
Lets's calculate GCF of 296,8852
2 | 296, 8852 |
2 | 148, 4426 |
74, 2213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11679156/4
Therefore the LCM of Fractions 6651/296,5268/8852 is 2919789
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 8852
List of positive integer factors of 8852 that divides 8852 without a remainder.
1,2,4,2213,4426,8852
Greatest Common Factor
We found the factors 296,8852 . The biggest common factor number is the GCF number.
So the greatest common factor 296,8852 is 4.
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 6651/296, 5268/8852?
Answer: LCM of Numerators as per given numbers 6651/296, 5268/8852 is
LCM of Numerators i.e. for 6651,5268 is 11679156
GCF of denominators i.e. for 296,8852 is 4.
Thus, LCM of Fractions is 2919789.Finally, LCM of Fractions for 6651/296, 5268/8852 is 2919789.