Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2919/132, 8066/6888 quickly i.e. 23544654/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2919/132, 8066/6888 is 23544654/12.
LCM(2919/132, 8066/6888) = 23544654/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2919/132,8066/6888
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 2919,8066
Least Common Multiple of Numerators i.e. LCM of 2919,8066 is 23544654.
GCF of Denominators means GCF of 132,6888 as per the given fractions.
GCF of 132,6888 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2919,8066
Given numbers has no common factors except 1. So, there LCM is their product i.e 23544654
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 2919,8066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2919,8066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2919,8066) x common factors =1 x 1 = 1
LCM(2919,8066) = ( 2919 × 8066 ) / 1
LCM(2919,8066) = 23544654 / 1
LCM(2919,8066) = 23544654
Lets's calculate GCF of 132,6888
2 | 132, 6888 |
2 | 66, 3444 |
3 | 33, 1722 |
11, 574 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23544654/12
Therefore the LCM of Fractions 2919/132,8066/6888 is 23544654/12
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 6888
List of positive integer factors of 6888 that divides 6888 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Greatest Common Factor
We found the factors 132,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 132,6888 is 12.
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 2919/132, 8066/6888?
Answer: LCM of Numerators as per given numbers 2919/132, 8066/6888 is
LCM of Numerators i.e. for 2919,8066 is 23544654
GCF of denominators i.e. for 132,6888 is 12.
Thus, LCM of Fractions is 23544654/12.Finally, LCM of Fractions for 2919/132, 8066/6888 is 23544654/12.