Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/944, 66/619, 77/733 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/944, 66/619, 77/733 is 2310.
LCM(5/944, 66/619, 77/733) = 2310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/944,66/619,77/733
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 5,66,77
Least Common Multiple of Numerators i.e. LCM of 5,66,77 is 2310.
GCF of Denominators means GCF of 944,619,733 as per the given fractions.
GCF of 944,619,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,66,77
11 | 5, 66, 77 |
5, 6, 7 |
∴ So the LCM of the given numbers is 11 x 5 x 6 x 7 = 2310
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 5,66,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,66,77) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(5,66,77) x common factors =1 x 11 = 11
LCM(5,66,77) = ( 5 × 66 × 77 ) / 11
LCM(5,66,77) = 25410 / 11
LCM(5,66,77) = 2310
Lets's calculate GCF of 944,619,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310/1
Therefore the LCM of Fractions 5/944,66/619,77/733 is 2310
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 944,619,733 . The biggest common factor number is the GCF number.
So the greatest common factor 944,619,733 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 5/944, 66/619, 77/733?
Answer: LCM of Numerators as per given numbers 5/944, 66/619, 77/733 is
LCM of Numerators i.e. for 5,66,77 is 2310
GCF of denominators i.e. for 944,619,733 is 1.
Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 5/944, 66/619, 77/733 is 2310.