Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/72, 86/25, 16/99, 507/12 quickly i.e. 3836976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/72, 86/25, 16/99, 507/12 is 3836976.
LCM(66/72, 86/25, 16/99, 507/12) = 3836976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/72,86/25,16/99,507/12
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 66,86,16,507
Least Common Multiple of Numerators i.e. LCM of 66,86,16,507 is 3836976.
GCF of Denominators means GCF of 72,25,99,12 as per the given fractions.
GCF of 72,25,99,12 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,86,16,507
2 | 66, 86, 16, 507 |
3 | 33, 43, 8, 507 |
11, 43, 8, 169 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 43 x 8 x 169 = 3836976
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 66,86,16,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,86,16,507) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(66,86,16,507) x common factors =1 x 12 = 12
LCM(66,86,16,507) = ( 66 × 86 × 16 × 507 ) / 12
LCM(66,86,16,507) = 46043712 / 12
LCM(66,86,16,507) = 3836976
Lets's calculate GCF of 72,25,99,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3836976/1
Therefore the LCM of Fractions 66/72,86/25,16/99,507/12 is 3836976
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 72,25,99,12 . The biggest common factor number is the GCF number.
So the greatest common factor 72,25,99,12 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 66/72, 86/25, 16/99, 507/12?
Answer: LCM of Numerators as per given numbers 66/72, 86/25, 16/99, 507/12 is
LCM of Numerators i.e. for 66,86,16,507 is 3836976
GCF of denominators i.e. for 72,25,99,12 is 1.
Thus, LCM of Fractions is 3836976.Finally, LCM of Fractions for 66/72, 86/25, 16/99, 507/12 is 3836976.