Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/312, 33/167, 145/146 quickly i.e. 306240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/312, 33/167, 145/146 is 306240.
LCM(64/312, 33/167, 145/146) = 306240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/312,33/167,145/146
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 64,33,145
Least Common Multiple of Numerators i.e. LCM of 64,33,145 is 306240.
GCF of Denominators means GCF of 312,167,146 as per the given fractions.
GCF of 312,167,146 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,33,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 306240
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 64,33,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,33,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,33,145) x common factors =1 x 1 = 1
LCM(64,33,145) = ( 64 × 33 × 145 ) / 1
LCM(64,33,145) = 306240 / 1
LCM(64,33,145) = 306240
Lets's calculate GCF of 312,167,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306240/1
Therefore the LCM of Fractions 64/312,33/167,145/146 is 306240
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 312,167,146 . The biggest common factor number is the GCF number.
So the greatest common factor 312,167,146 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 64/312, 33/167, 145/146?
Answer: LCM of Numerators as per given numbers 64/312, 33/167, 145/146 is
LCM of Numerators i.e. for 64,33,145 is 306240
GCF of denominators i.e. for 312,167,146 is 1.
Thus, LCM of Fractions is 306240.Finally, LCM of Fractions for 64/312, 33/167, 145/146 is 306240.