Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/633, 397/964, 844/913 quickly i.e. 3685748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/633, 397/964, 844/913 is 3685748.
LCM(44/633, 397/964, 844/913) = 3685748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/633,397/964,844/913
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 44,397,844
Least Common Multiple of Numerators i.e. LCM of 44,397,844 is 3685748.
GCF of Denominators means GCF of 633,964,913 as per the given fractions.
GCF of 633,964,913 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,397,844
2 | 44, 397, 844 |
2 | 22, 397, 422 |
11, 397, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 397 x 211 = 3685748
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 44,397,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,397,844) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,397,844) x common factors =1 x 4 = 4
LCM(44,397,844) = ( 44 × 397 × 844 ) / 4
LCM(44,397,844) = 14742992 / 4
LCM(44,397,844) = 3685748
Lets's calculate GCF of 633,964,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3685748/1
Therefore the LCM of Fractions 44/633,397/964,844/913 is 3685748
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 633,964,913 . The biggest common factor number is the GCF number.
So the greatest common factor 633,964,913 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 44/633, 397/964, 844/913?
Answer: LCM of Numerators as per given numbers 44/633, 397/964, 844/913 is
LCM of Numerators i.e. for 44,397,844 is 3685748
GCF of denominators i.e. for 633,964,913 is 1.
Thus, LCM of Fractions is 3685748.Finally, LCM of Fractions for 44/633, 397/964, 844/913 is 3685748.