Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8397/606, 2694/101 quickly i.e. 7540506/101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8397/606, 2694/101 is 7540506/101.
LCM(8397/606, 2694/101) = 7540506/101
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8397/606,2694/101
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 8397,2694
Least Common Multiple of Numerators i.e. LCM of 8397,2694 is 7540506.
GCF of Denominators means GCF of 606,101 as per the given fractions.
GCF of 606,101 is 101 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8397,2694
3 | 8397, 2694 |
2799, 898 |
∴ So the LCM of the given numbers is 3 x 2799 x 898 = 7540506
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 8397,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8397,2694) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8397,2694) x common factors =3 x 1 = 3
LCM(8397,2694) = ( 8397 × 2694 ) / 3
LCM(8397,2694) = 22621518 / 3
LCM(8397,2694) = 7540506
Lets's calculate GCF of 606,101
101 | 606, 101 |
6, 1 |
∴ So the GCF of the given numbers is 101 = 101
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7540506/101
Therefore the LCM of Fractions 8397/606,2694/101 is 7540506/101
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 606,101 . The biggest common factor number is the GCF number.
So the greatest common factor 606,101 is 101.
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 8397/606, 2694/101?
Answer: LCM of Numerators as per given numbers 8397/606, 2694/101 is
LCM of Numerators i.e. for 8397,2694 is 7540506
GCF of denominators i.e. for 606,101 is 101.
Thus, LCM of Fractions is 7540506/101.Finally, LCM of Fractions for 8397/606, 2694/101 is 7540506/101.