Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 436/36, 323/62, 593/528 quickly i.e. 41755502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 436/36, 323/62, 593/528 is 41755502.
LCM(436/36, 323/62, 593/528) = 41755502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 436/36,323/62,593/528
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 436,323,593
Least Common Multiple of Numerators i.e. LCM of 436,323,593 is 83511004.
GCF of Denominators means GCF of 36,62,528 as per the given fractions.
GCF of 36,62,528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 436,323,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 83511004
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 436,323,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,323,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,323,593) x common factors =1 x 1 = 1
LCM(436,323,593) = ( 436 × 323 × 593 ) / 1
LCM(436,323,593) = 83511004 / 1
LCM(436,323,593) = 83511004
Lets's calculate GCF of 36,62,528
2 | 36, 62, 528 |
18, 31, 264 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83511004/2
Therefore the LCM of Fractions 436/36,323/62,593/528 is 41755502
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 36,62,528 . The biggest common factor number is the GCF number.
So the greatest common factor 36,62,528 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 436/36, 323/62, 593/528?
Answer: LCM of Numerators as per given numbers 436/36, 323/62, 593/528 is
LCM of Numerators i.e. for 436,323,593 is 83511004
GCF of denominators i.e. for 36,62,528 is 2.
Thus, LCM of Fractions is 41755502.Finally, LCM of Fractions for 436/36, 323/62, 593/528 is 41755502.