Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/598, 56/529 quickly i.e. 3304/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/598, 56/529 is 3304/23.
LCM(59/598, 56/529) = 3304/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/598,56/529
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 59,56
Least Common Multiple of Numerators i.e. LCM of 59,56 is 3304.
GCF of Denominators means GCF of 598,529 as per the given fractions.
GCF of 598,529 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,56
Given numbers has no common factors except 1. So, there LCM is their product i.e 3304
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 59,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,56) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,56) x common factors =1 x 1 = 1
LCM(59,56) = ( 59 × 56 ) / 1
LCM(59,56) = 3304 / 1
LCM(59,56) = 3304
Lets's calculate GCF of 598,529
23 | 598, 529 |
26, 23 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3304/23
Therefore the LCM of Fractions 59/598,56/529 is 3304/23
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 598,529 . The biggest common factor number is the GCF number.
So the greatest common factor 598,529 is 23.
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 59/598, 56/529?
Answer: LCM of Numerators as per given numbers 59/598, 56/529 is
LCM of Numerators i.e. for 59,56 is 3304
GCF of denominators i.e. for 598,529 is 23.
Thus, LCM of Fractions is 3304/23.Finally, LCM of Fractions for 59/598, 56/529 is 3304/23.