Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/655, 627/932, 313/458 quickly i.e. 785004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/655, 627/932, 313/458 is 785004.
LCM(44/655, 627/932, 313/458) = 785004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/655,627/932,313/458
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 44,627,313
Least Common Multiple of Numerators i.e. LCM of 44,627,313 is 785004.
GCF of Denominators means GCF of 655,932,458 as per the given fractions.
GCF of 655,932,458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,627,313
11 | 44, 627, 313 |
4, 57, 313 |
∴ So the LCM of the given numbers is 11 x 4 x 57 x 313 = 785004
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 44,627,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,627,313) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(44,627,313) x common factors =1 x 11 = 11
LCM(44,627,313) = ( 44 × 627 × 313 ) / 11
LCM(44,627,313) = 8635044 / 11
LCM(44,627,313) = 785004
Lets's calculate GCF of 655,932,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785004/1
Therefore the LCM of Fractions 44/655,627/932,313/458 is 785004
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 655,932,458 . The biggest common factor number is the GCF number.
So the greatest common factor 655,932,458 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 44/655, 627/932, 313/458?
Answer: LCM of Numerators as per given numbers 44/655, 627/932, 313/458 is
LCM of Numerators i.e. for 44,627,313 is 785004
GCF of denominators i.e. for 655,932,458 is 1.
Thus, LCM of Fractions is 785004.Finally, LCM of Fractions for 44/655, 627/932, 313/458 is 785004.