Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/64, 93/44, 73/65, 42/699 quickly i.e. 4467162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/64, 93/44, 73/65, 42/699 is 4467162.
LCM(47/64, 93/44, 73/65, 42/699) = 4467162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/64,93/44,73/65,42/699
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 47,93,73,42
Least Common Multiple of Numerators i.e. LCM of 47,93,73,42 is 4467162.
GCF of Denominators means GCF of 64,44,65,699 as per the given fractions.
GCF of 64,44,65,699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,93,73,42
3 | 47, 93, 73, 42 |
47, 31, 73, 14 |
∴ So the LCM of the given numbers is 3 x 47 x 31 x 73 x 14 = 4467162
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 47,93,73,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,93,73,42) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,93,73,42) x common factors =1 x 3 = 3
LCM(47,93,73,42) = ( 47 × 93 × 73 × 42 ) / 3
LCM(47,93,73,42) = 13401486 / 3
LCM(47,93,73,42) = 4467162
Lets's calculate GCF of 64,44,65,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4467162/1
Therefore the LCM of Fractions 47/64,93/44,73/65,42/699 is 4467162
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 64,44,65,699 . The biggest common factor number is the GCF number.
So the greatest common factor 64,44,65,699 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 47/64, 93/44, 73/65, 42/699?
Answer: LCM of Numerators as per given numbers 47/64, 93/44, 73/65, 42/699 is
LCM of Numerators i.e. for 47,93,73,42 is 4467162
GCF of denominators i.e. for 64,44,65,699 is 1.
Thus, LCM of Fractions is 4467162.Finally, LCM of Fractions for 47/64, 93/44, 73/65, 42/699 is 4467162.