Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 986/272, 5165/9753 quickly i.e. 5092690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 986/272, 5165/9753 is 5092690.
LCM(986/272, 5165/9753) = 5092690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 986/272,5165/9753
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 986,5165
Least Common Multiple of Numerators i.e. LCM of 986,5165 is 5092690.
GCF of Denominators means GCF of 272,9753 as per the given fractions.
GCF of 272,9753 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 986,5165
Given numbers has no common factors except 1. So, there LCM is their product i.e 5092690
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 986,5165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,5165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,5165) x common factors =1 x 1 = 1
LCM(986,5165) = ( 986 × 5165 ) / 1
LCM(986,5165) = 5092690 / 1
LCM(986,5165) = 5092690
Lets's calculate GCF of 272,9753
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5092690/1
Therefore the LCM of Fractions 986/272,5165/9753 is 5092690
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 9753
List of positive integer factors of 9753 that divides 9753 without a remainder.
1,3,3251,9753
Greatest Common Factor
We found the factors 272,9753 . The biggest common factor number is the GCF number.
So the greatest common factor 272,9753 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 986/272, 5165/9753?
Answer: LCM of Numerators as per given numbers 986/272, 5165/9753 is
LCM of Numerators i.e. for 986,5165 is 5092690
GCF of denominators i.e. for 272,9753 is 1.
Thus, LCM of Fractions is 5092690.Finally, LCM of Fractions for 986/272, 5165/9753 is 5092690.