Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/43, 64/501, 148/611 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 33/43, 64/501, 148/611 is 78144.
LCM(33/43, 64/501, 148/611) = 78144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/43,64/501,148/611
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 33,64,148
Least Common Multiple of Numerators i.e. LCM of 33,64,148 is 78144.
GCF of Denominators means GCF of 43,501,611 as per the given fractions.
GCF of 43,501,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,64,148
2 | 33, 64, 148 |
2 | 33, 32, 74 |
33, 16, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 33 x 16 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 33,64,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,64,148) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(33,64,148) x common factors =1 x 4 = 4
LCM(33,64,148) = ( 33 × 64 × 148 ) / 4
LCM(33,64,148) = 312576 / 4
LCM(33,64,148) = 78144
Lets's calculate GCF of 43,501,611
∴ 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 33/43,64/501,148/611 is 78144
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 43,501,611 . The biggest common factor number is the GCF number.
So the greatest common factor 43,501,611 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 33/43, 64/501, 148/611?
Answer: LCM of Numerators as per given numbers 33/43, 64/501, 148/611 is
LCM of Numerators i.e. for 33,64,148 is 78144
GCF of denominators i.e. for 43,501,611 is 1.
Thus, LCM of Fractions is 78144.Finally, LCM of Fractions for 33/43, 64/501, 148/611 is 78144.