Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9813/707, 2727/3557 quickly i.e. 8920017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9813/707, 2727/3557 is 8920017.
LCM(9813/707, 2727/3557) = 8920017
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9813/707,2727/3557
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 9813,2727
Least Common Multiple of Numerators i.e. LCM of 9813,2727 is 8920017.
GCF of Denominators means GCF of 707,3557 as per the given fractions.
GCF of 707,3557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9813,2727
3 | 9813, 2727 |
3271, 909 |
∴ So the LCM of the given numbers is 3 x 3271 x 909 = 8920017
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 9813,2727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9813,2727) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9813,2727) x common factors =3 x 1 = 3
LCM(9813,2727) = ( 9813 × 2727 ) / 3
LCM(9813,2727) = 26760051 / 3
LCM(9813,2727) = 8920017
Lets's calculate GCF of 707,3557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8920017/1
Therefore the LCM of Fractions 9813/707,2727/3557 is 8920017
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 3557
List of positive integer factors of 3557 that divides 3557 without a remainder.
1,3557
Greatest Common Factor
We found the factors 707,3557 . The biggest common factor number is the GCF number.
So the greatest common factor 707,3557 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 9813/707, 2727/3557?
Answer: LCM of Numerators as per given numbers 9813/707, 2727/3557 is
LCM of Numerators i.e. for 9813,2727 is 8920017
GCF of denominators i.e. for 707,3557 is 1.
Thus, LCM of Fractions is 8920017.Finally, LCM of Fractions for 9813/707, 2727/3557 is 8920017.