Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 459/50, 572/5026 quickly i.e. 131274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 459/50, 572/5026 is 131274.
LCM(459/50, 572/5026) = 131274
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 459/50,572/5026
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 459,572
Least Common Multiple of Numerators i.e. LCM of 459,572 is 262548.
GCF of Denominators means GCF of 50,5026 as per the given fractions.
GCF of 50,5026 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 459,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 262548
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 459,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,572) x common factors =1 x 1 = 1
LCM(459,572) = ( 459 × 572 ) / 1
LCM(459,572) = 262548 / 1
LCM(459,572) = 262548
Lets's calculate GCF of 50,5026
2 | 50, 5026 |
25, 2513 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262548/2
Therefore the LCM of Fractions 459/50,572/5026 is 131274
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 5026
List of positive integer factors of 5026 that divides 5026 without a remainder.
1,2,7,14,359,718,2513,5026
Greatest Common Factor
We found the factors 50,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5026 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 459/50, 572/5026?
Answer: LCM of Numerators as per given numbers 459/50, 572/5026 is
LCM of Numerators i.e. for 459,572 is 262548
GCF of denominators i.e. for 50,5026 is 2.
Thus, LCM of Fractions is 131274.Finally, LCM of Fractions for 459/50, 572/5026 is 131274.