Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/69, 398/22, 990/932 quickly i.e. 197010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/69, 398/22, 990/932 is 197010.
LCM(66/69, 398/22, 990/932) = 197010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/69,398/22,990/932
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 66,398,990
Least Common Multiple of Numerators i.e. LCM of 66,398,990 is 197010.
GCF of Denominators means GCF of 69,22,932 as per the given fractions.
GCF of 69,22,932 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,398,990
2 | 66, 398, 990 |
3 | 33, 199, 495 |
11 | 11, 199, 165 |
1, 199, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 199 x 15 = 197010
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 66,398,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,398,990) = 2
common factors(in case of two or more numbers have common factors) = 66
GCF(66,398,990) x common factors =2 x 66 = 132
LCM(66,398,990) = ( 66 × 398 × 990 ) / 132
LCM(66,398,990) = 26005320 / 132
LCM(66,398,990) = 197010
Lets's calculate GCF of 69,22,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197010/1
Therefore the LCM of Fractions 66/69,398/22,990/932 is 197010
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 69,22,932 . The biggest common factor number is the GCF number.
So the greatest common factor 69,22,932 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 66/69, 398/22, 990/932?
Answer: LCM of Numerators as per given numbers 66/69, 398/22, 990/932 is
LCM of Numerators i.e. for 66,398,990 is 197010
GCF of denominators i.e. for 69,22,932 is 1.
Thus, LCM of Fractions is 197010.Finally, LCM of Fractions for 66/69, 398/22, 990/932 is 197010.