Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 570/596, 1423/698 quickly i.e. 405555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 570/596, 1423/698 is 405555.
LCM(570/596, 1423/698) = 405555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 570/596,1423/698
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 570,1423
Least Common Multiple of Numerators i.e. LCM of 570,1423 is 811110.
GCF of Denominators means GCF of 596,698 as per the given fractions.
GCF of 596,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 570,1423
Given numbers has no common factors except 1. So, there LCM is their product i.e 811110
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 570,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,1423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(570,1423) x common factors =1 x 1 = 1
LCM(570,1423) = ( 570 × 1423 ) / 1
LCM(570,1423) = 811110 / 1
LCM(570,1423) = 811110
Lets's calculate GCF of 596,698
2 | 596, 698 |
298, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811110/2
Therefore the LCM of Fractions 570/596,1423/698 is 405555
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 596,698 . The biggest common factor number is the GCF number.
So the greatest common factor 596,698 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 570/596, 1423/698?
Answer: LCM of Numerators as per given numbers 570/596, 1423/698 is
LCM of Numerators i.e. for 570,1423 is 811110
GCF of denominators i.e. for 596,698 is 2.
Thus, LCM of Fractions is 405555.Finally, LCM of Fractions for 570/596, 1423/698 is 405555.