Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/47, 642/1533 quickly i.e. 326778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/47, 642/1533 is 326778.
LCM(509/47, 642/1533) = 326778
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/47,642/1533
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 509,642
Least Common Multiple of Numerators i.e. LCM of 509,642 is 326778.
GCF of Denominators means GCF of 47,1533 as per the given fractions.
GCF of 47,1533 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 326778
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 509,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,642) x common factors =1 x 1 = 1
LCM(509,642) = ( 509 × 642 ) / 1
LCM(509,642) = 326778 / 1
LCM(509,642) = 326778
Lets's calculate GCF of 47,1533
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326778/1
Therefore the LCM of Fractions 509/47,642/1533 is 326778
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 1533
List of positive integer factors of 1533 that divides 1533 without a remainder.
1,3,7,21,73,219,511,1533
Greatest Common Factor
We found the factors 47,1533 . The biggest common factor number is the GCF number.
So the greatest common factor 47,1533 is 1.
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 509/47, 642/1533?
Answer: LCM of Numerators as per given numbers 509/47, 642/1533 is
LCM of Numerators i.e. for 509,642 is 326778
GCF of denominators i.e. for 47,1533 is 1.
Thus, LCM of Fractions is 326778.Finally, LCM of Fractions for 509/47, 642/1533 is 326778.