Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 803/77, 462/20, 246/197 quickly i.e. 1382766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 803/77, 462/20, 246/197 is 1382766.
LCM(803/77, 462/20, 246/197) = 1382766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 803/77,462/20,246/197
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 803,462,246
Least Common Multiple of Numerators i.e. LCM of 803,462,246 is 1382766.
GCF of Denominators means GCF of 77,20,197 as per the given fractions.
GCF of 77,20,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 803,462,246
2 | 803, 462, 246 |
3 | 803, 231, 123 |
11 | 803, 77, 41 |
73, 7, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 73 x 7 x 41 = 1382766
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 803,462,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,462,246) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(803,462,246) x common factors =1 x 66 = 66
LCM(803,462,246) = ( 803 × 462 × 246 ) / 66
LCM(803,462,246) = 91262556 / 66
LCM(803,462,246) = 1382766
Lets's calculate GCF of 77,20,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1382766/1
Therefore the LCM of Fractions 803/77,462/20,246/197 is 1382766
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 77,20,197 . The biggest common factor number is the GCF number.
So the greatest common factor 77,20,197 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 803/77, 462/20, 246/197?
Answer: LCM of Numerators as per given numbers 803/77, 462/20, 246/197 is
LCM of Numerators i.e. for 803,462,246 is 1382766
GCF of denominators i.e. for 77,20,197 is 1.
Thus, LCM of Fractions is 1382766.Finally, LCM of Fractions for 803/77, 462/20, 246/197 is 1382766.