Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/39, 708/77, 409/902 quickly i.e. 28088484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/39, 708/77, 409/902 is 28088484.
LCM(97/39, 708/77, 409/902) = 28088484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/39,708/77,409/902
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 97,708,409
Least Common Multiple of Numerators i.e. LCM of 97,708,409 is 28088484.
GCF of Denominators means GCF of 39,77,902 as per the given fractions.
GCF of 39,77,902 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,708,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 28088484
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 97,708,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,708,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,708,409) x common factors =1 x 1 = 1
LCM(97,708,409) = ( 97 × 708 × 409 ) / 1
LCM(97,708,409) = 28088484 / 1
LCM(97,708,409) = 28088484
Lets's calculate GCF of 39,77,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28088484/1
Therefore the LCM of Fractions 97/39,708/77,409/902 is 28088484
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 39,77,902 . The biggest common factor number is the GCF number.
So the greatest common factor 39,77,902 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 97/39, 708/77, 409/902?
Answer: LCM of Numerators as per given numbers 97/39, 708/77, 409/902 is
LCM of Numerators i.e. for 97,708,409 is 28088484
GCF of denominators i.e. for 39,77,902 is 1.
Thus, LCM of Fractions is 28088484.Finally, LCM of Fractions for 97/39, 708/77, 409/902 is 28088484.