Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/336, 17/333, 389/507 quickly i.e. 482749/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/336, 17/333, 389/507 is 482749/3.
LCM(73/336, 17/333, 389/507) = 482749/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/336,17/333,389/507
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 73,17,389
Least Common Multiple of Numerators i.e. LCM of 73,17,389 is 482749.
GCF of Denominators means GCF of 336,333,507 as per the given fractions.
GCF of 336,333,507 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,17,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 482749
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 73,17,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,17,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,17,389) x common factors =1 x 1 = 1
LCM(73,17,389) = ( 73 × 17 × 389 ) / 1
LCM(73,17,389) = 482749 / 1
LCM(73,17,389) = 482749
Lets's calculate GCF of 336,333,507
3 | 336, 333, 507 |
112, 111, 169 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482749/3
Therefore the LCM of Fractions 73/336,17/333,389/507 is 482749/3
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 336,333,507 . The biggest common factor number is the GCF number.
So the greatest common factor 336,333,507 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 73/336, 17/333, 389/507?
Answer: LCM of Numerators as per given numbers 73/336, 17/333, 389/507 is
LCM of Numerators i.e. for 73,17,389 is 482749
GCF of denominators i.e. for 336,333,507 is 3.
Thus, LCM of Fractions is 482749/3.Finally, LCM of Fractions for 73/336, 17/333, 389/507 is 482749/3.