Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 787/46, 823/74, 994/364 quickly i.e. 321907397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 787/46, 823/74, 994/364 is 321907397.
LCM(787/46, 823/74, 994/364) = 321907397
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 787/46,823/74,994/364
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 787,823,994
Least Common Multiple of Numerators i.e. LCM of 787,823,994 is 643814794.
GCF of Denominators means GCF of 46,74,364 as per the given fractions.
GCF of 46,74,364 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 787,823,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 643814794
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 787,823,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,823,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,823,994) x common factors =1 x 1 = 1
LCM(787,823,994) = ( 787 × 823 × 994 ) / 1
LCM(787,823,994) = 643814794 / 1
LCM(787,823,994) = 643814794
Lets's calculate GCF of 46,74,364
2 | 46, 74, 364 |
23, 37, 182 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643814794/2
Therefore the LCM of Fractions 787/46,823/74,994/364 is 321907397
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 46,74,364 . The biggest common factor number is the GCF number.
So the greatest common factor 46,74,364 is 2.
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 787/46, 823/74, 994/364?
Answer: LCM of Numerators as per given numbers 787/46, 823/74, 994/364 is
LCM of Numerators i.e. for 787,823,994 is 643814794
GCF of denominators i.e. for 46,74,364 is 2.
Thus, LCM of Fractions is 321907397.Finally, LCM of Fractions for 787/46, 823/74, 994/364 is 321907397.