Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 336/522, 323/742 quickly i.e. 54264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 336/522, 323/742 is 54264.
LCM(336/522, 323/742) = 54264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 336/522,323/742
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 336,323
Least Common Multiple of Numerators i.e. LCM of 336,323 is 108528.
GCF of Denominators means GCF of 522,742 as per the given fractions.
GCF of 522,742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 336,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 108528
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 336,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,323) x common factors =1 x 1 = 1
LCM(336,323) = ( 336 × 323 ) / 1
LCM(336,323) = 108528 / 1
LCM(336,323) = 108528
Lets's calculate GCF of 522,742
2 | 522, 742 |
261, 371 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108528/2
Therefore the LCM of Fractions 336/522,323/742 is 54264
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 522,742 . The biggest common factor number is the GCF number.
So the greatest common factor 522,742 is 2.
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 336/522, 323/742?
Answer: LCM of Numerators as per given numbers 336/522, 323/742 is
LCM of Numerators i.e. for 336,323 is 108528
GCF of denominators i.e. for 522,742 is 2.
Thus, LCM of Fractions is 54264.Finally, LCM of Fractions for 336/522, 323/742 is 54264.