Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/106, 99/246, 322/941 quickly i.e. 318780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/106, 99/246, 322/941 is 318780.
LCM(20/106, 99/246, 322/941) = 318780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/106,99/246,322/941
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 20,99,322
Least Common Multiple of Numerators i.e. LCM of 20,99,322 is 318780.
GCF of Denominators means GCF of 106,246,941 as per the given fractions.
GCF of 106,246,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,99,322
2 | 20, 99, 322 |
10, 99, 161 |
∴ So the LCM of the given numbers is 2 x 10 x 99 x 161 = 318780
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 20,99,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,99,322) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,99,322) x common factors =1 x 2 = 2
LCM(20,99,322) = ( 20 × 99 × 322 ) / 2
LCM(20,99,322) = 637560 / 2
LCM(20,99,322) = 318780
Lets's calculate GCF of 106,246,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318780/1
Therefore the LCM of Fractions 20/106,99/246,322/941 is 318780
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 106,246,941 . The biggest common factor number is the GCF number.
So the greatest common factor 106,246,941 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 20/106, 99/246, 322/941?
Answer: LCM of Numerators as per given numbers 20/106, 99/246, 322/941 is
LCM of Numerators i.e. for 20,99,322 is 318780
GCF of denominators i.e. for 106,246,941 is 1.
Thus, LCM of Fractions is 318780.Finally, LCM of Fractions for 20/106, 99/246, 322/941 is 318780.