Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/98, 952/4917 quickly i.e. 484568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/98, 952/4917 is 484568.
LCM(509/98, 952/4917) = 484568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/98,952/4917
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 509,952
Least Common Multiple of Numerators i.e. LCM of 509,952 is 484568.
GCF of Denominators means GCF of 98,4917 as per the given fractions.
GCF of 98,4917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 484568
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 509,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,952) x common factors =1 x 1 = 1
LCM(509,952) = ( 509 × 952 ) / 1
LCM(509,952) = 484568 / 1
LCM(509,952) = 484568
Lets's calculate GCF of 98,4917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484568/1
Therefore the LCM of Fractions 509/98,952/4917 is 484568
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 4917
List of positive integer factors of 4917 that divides 4917 without a remainder.
1,3,11,33,149,447,1639,4917
Greatest Common Factor
We found the factors 98,4917 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4917 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 509/98, 952/4917?
Answer: LCM of Numerators as per given numbers 509/98, 952/4917 is
LCM of Numerators i.e. for 509,952 is 484568
GCF of denominators i.e. for 98,4917 is 1.
Thus, LCM of Fractions is 484568.Finally, LCM of Fractions for 509/98, 952/4917 is 484568.