Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/32, 9/35, 67/66, 51/515 quickly i.e. 82008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/32, 9/35, 67/66, 51/515 is 82008.
LCM(8/32, 9/35, 67/66, 51/515) = 82008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/32,9/35,67/66,51/515
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 8,9,67,51
Least Common Multiple of Numerators i.e. LCM of 8,9,67,51 is 82008.
GCF of Denominators means GCF of 32,35,66,515 as per the given fractions.
GCF of 32,35,66,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,9,67,51
3 | 8, 9, 67, 51 |
8, 3, 67, 17 |
∴ So the LCM of the given numbers is 3 x 8 x 3 x 67 x 17 = 82008
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 8,9,67,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,9,67,51) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(8,9,67,51) x common factors =1 x 3 = 3
LCM(8,9,67,51) = ( 8 × 9 × 67 × 51 ) / 3
LCM(8,9,67,51) = 246024 / 3
LCM(8,9,67,51) = 82008
Lets's calculate GCF of 32,35,66,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82008/1
Therefore the LCM of Fractions 8/32,9/35,67/66,51/515 is 82008
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
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 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 32,35,66,515 . The biggest common factor number is the GCF number.
So the greatest common factor 32,35,66,515 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 8/32, 9/35, 67/66, 51/515?
Answer: LCM of Numerators as per given numbers 8/32, 9/35, 67/66, 51/515 is
LCM of Numerators i.e. for 8,9,67,51 is 82008
GCF of denominators i.e. for 32,35,66,515 is 1.
Thus, LCM of Fractions is 82008.Finally, LCM of Fractions for 8/32, 9/35, 67/66, 51/515 is 82008.