Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/66, 71/20, 10/79, 680/68 quickly i.e. 144840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/66, 71/20, 10/79, 680/68 is 144840.
LCM(12/66, 71/20, 10/79, 680/68) = 144840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/66,71/20,10/79,680/68
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 12,71,10,680
Least Common Multiple of Numerators i.e. LCM of 12,71,10,680 is 144840.
GCF of Denominators means GCF of 66,20,79,68 as per the given fractions.
GCF of 66,20,79,68 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,71,10,680
2 | 12, 71, 10, 680 |
2 | 6, 71, 5, 340 |
5 | 3, 71, 5, 170 |
3, 71, 1, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 71 x 1 x 34 = 144840
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 12,71,10,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,71,10,680) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(12,71,10,680) x common factors =1 x 40 = 40
LCM(12,71,10,680) = ( 12 × 71 × 10 × 680 ) / 40
LCM(12,71,10,680) = 5793600 / 40
LCM(12,71,10,680) = 144840
Lets's calculate GCF of 66,20,79,68
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144840/1
Therefore the LCM of Fractions 12/66,71/20,10/79,680/68 is 144840
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Greatest Common Factor
We found the factors 66,20,79,68 . The biggest common factor number is the GCF number.
So the greatest common factor 66,20,79,68 is 1.
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 12/66, 71/20, 10/79, 680/68?
Answer: LCM of Numerators as per given numbers 12/66, 71/20, 10/79, 680/68 is
LCM of Numerators i.e. for 12,71,10,680 is 144840
GCF of denominators i.e. for 66,20,79,68 is 1.
Thus, LCM of Fractions is 144840.Finally, LCM of Fractions for 12/66, 71/20, 10/79, 680/68 is 144840.