Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/96, 66/23, 37/185 quickly i.e. 78144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/96, 66/23, 37/185 is 78144.
LCM(64/96, 66/23, 37/185) = 78144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/96,66/23,37/185
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 64,66,37
Least Common Multiple of Numerators i.e. LCM of 64,66,37 is 78144.
GCF of Denominators means GCF of 96,23,185 as per the given fractions.
GCF of 96,23,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,66,37
2 | 64, 66, 37 |
32, 33, 37 |
∴ So the LCM of the given numbers is 2 x 32 x 33 x 37 = 78144
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 64,66,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,66,37) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,66,37) x common factors =1 x 2 = 2
LCM(64,66,37) = ( 64 × 66 × 37 ) / 2
LCM(64,66,37) = 156288 / 2
LCM(64,66,37) = 78144
Lets's calculate GCF of 96,23,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78144/1
Therefore the LCM of Fractions 64/96,66/23,37/185 is 78144
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 96,23,185 . The biggest common factor number is the GCF number.
So the greatest common factor 96,23,185 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 64/96, 66/23, 37/185?
Answer: LCM of Numerators as per given numbers 64/96, 66/23, 37/185 is
LCM of Numerators i.e. for 64,66,37 is 78144
GCF of denominators i.e. for 96,23,185 is 1.
Thus, LCM of Fractions is 78144.Finally, LCM of Fractions for 64/96, 66/23, 37/185 is 78144.