Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 728/703, 9489/130 quickly i.e. 6907992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 728/703, 9489/130 is 6907992.
LCM(728/703, 9489/130) = 6907992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 728/703,9489/130
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 728,9489
Least Common Multiple of Numerators i.e. LCM of 728,9489 is 6907992.
GCF of Denominators means GCF of 703,130 as per the given fractions.
GCF of 703,130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 728,9489
Given numbers has no common factors except 1. So, there LCM is their product i.e 6907992
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 728,9489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,9489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,9489) x common factors =1 x 1 = 1
LCM(728,9489) = ( 728 × 9489 ) / 1
LCM(728,9489) = 6907992 / 1
LCM(728,9489) = 6907992
Lets's calculate GCF of 703,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6907992/1
Therefore the LCM of Fractions 728/703,9489/130 is 6907992
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 703,130 . The biggest common factor number is the GCF number.
So the greatest common factor 703,130 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 728/703, 9489/130?
Answer: LCM of Numerators as per given numbers 728/703, 9489/130 is
LCM of Numerators i.e. for 728,9489 is 6907992
GCF of denominators i.e. for 703,130 is 1.
Thus, LCM of Fractions is 6907992.Finally, LCM of Fractions for 728/703, 9489/130 is 6907992.