Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/18, 734/33, 321/399 quickly i.e. 4790818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/18, 734/33, 321/399 is 4790818.
LCM(61/18, 734/33, 321/399) = 4790818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/18,734/33,321/399
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 61,734,321
Least Common Multiple of Numerators i.e. LCM of 61,734,321 is 14372454.
GCF of Denominators means GCF of 18,33,399 as per the given fractions.
GCF of 18,33,399 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,734,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 14372454
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 61,734,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,734,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,734,321) x common factors =1 x 1 = 1
LCM(61,734,321) = ( 61 × 734 × 321 ) / 1
LCM(61,734,321) = 14372454 / 1
LCM(61,734,321) = 14372454
Lets's calculate GCF of 18,33,399
3 | 18, 33, 399 |
6, 11, 133 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14372454/3
Therefore the LCM of Fractions 61/18,734/33,321/399 is 4790818
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 18,33,399 . The biggest common factor number is the GCF number.
So the greatest common factor 18,33,399 is 3.
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 61/18, 734/33, 321/399?
Answer: LCM of Numerators as per given numbers 61/18, 734/33, 321/399 is
LCM of Numerators i.e. for 61,734,321 is 14372454
GCF of denominators i.e. for 18,33,399 is 3.
Thus, LCM of Fractions is 4790818.Finally, LCM of Fractions for 61/18, 734/33, 321/399 is 4790818.