Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/97, 53/990, 21/825 quickly i.e. 8904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/97, 53/990, 21/825 is 8904.
LCM(8/97, 53/990, 21/825) = 8904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/97,53/990,21/825
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 8,53,21
Least Common Multiple of Numerators i.e. LCM of 8,53,21 is 8904.
GCF of Denominators means GCF of 97,990,825 as per the given fractions.
GCF of 97,990,825 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,53,21
Given numbers has no common factors except 1. So, there LCM is their product i.e 8904
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 8,53,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,53,21) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,53,21) x common factors =1 x 1 = 1
LCM(8,53,21) = ( 8 × 53 × 21 ) / 1
LCM(8,53,21) = 8904 / 1
LCM(8,53,21) = 8904
Lets's calculate GCF of 97,990,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8904/1
Therefore the LCM of Fractions 8/97,53/990,21/825 is 8904
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 97,990,825 . The biggest common factor number is the GCF number.
So the greatest common factor 97,990,825 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 8/97, 53/990, 21/825?
Answer: LCM of Numerators as per given numbers 8/97, 53/990, 21/825 is
LCM of Numerators i.e. for 8,53,21 is 8904
GCF of denominators i.e. for 97,990,825 is 1.
Thus, LCM of Fractions is 8904.Finally, LCM of Fractions for 8/97, 53/990, 21/825 is 8904.