Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/806, 464/923, 190/122 quickly i.e. 396720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/806, 464/923, 190/122 is 396720.
LCM(36/806, 464/923, 190/122) = 396720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/806,464/923,190/122
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 36,464,190
Least Common Multiple of Numerators i.e. LCM of 36,464,190 is 396720.
GCF of Denominators means GCF of 806,923,122 as per the given fractions.
GCF of 806,923,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,464,190
2 | 36, 464, 190 |
2 | 18, 232, 95 |
9, 116, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 116 x 95 = 396720
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 36,464,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,464,190) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(36,464,190) x common factors =2 x 4 = 8
LCM(36,464,190) = ( 36 × 464 × 190 ) / 8
LCM(36,464,190) = 3173760 / 8
LCM(36,464,190) = 396720
Lets's calculate GCF of 806,923,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396720/1
Therefore the LCM of Fractions 36/806,464/923,190/122 is 396720
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 806,923,122 . The biggest common factor number is the GCF number.
So the greatest common factor 806,923,122 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 36/806, 464/923, 190/122?
Answer: LCM of Numerators as per given numbers 36/806, 464/923, 190/122 is
LCM of Numerators i.e. for 36,464,190 is 396720
GCF of denominators i.e. for 806,923,122 is 1.
Thus, LCM of Fractions is 396720.Finally, LCM of Fractions for 36/806, 464/923, 190/122 is 396720.