Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 646/966, 5712/266 quickly i.e. 7752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 646/966, 5712/266 is 7752.
LCM(646/966, 5712/266) = 7752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 646/966,5712/266
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 646,5712
Least Common Multiple of Numerators i.e. LCM of 646,5712 is 108528.
GCF of Denominators means GCF of 966,266 as per the given fractions.
GCF of 966,266 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 646,5712
2 | 646, 5712 |
17 | 323, 2856 |
19, 168 |
∴ So the LCM of the given numbers is 2 x 17 x 19 x 168 = 108528
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 646,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,5712) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(646,5712) x common factors =34 x 1 = 34
LCM(646,5712) = ( 646 × 5712 ) / 34
LCM(646,5712) = 3689952 / 34
LCM(646,5712) = 108528
Lets's calculate GCF of 966,266
2 | 966, 266 |
7 | 483, 133 |
69, 19 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108528/14
Therefore the LCM of Fractions 646/966,5712/266 is 7752
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 966,266 . The biggest common factor number is the GCF number.
So the greatest common factor 966,266 is 14.
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 646/966, 5712/266?
Answer: LCM of Numerators as per given numbers 646/966, 5712/266 is
LCM of Numerators i.e. for 646,5712 is 108528
GCF of denominators i.e. for 966,266 is 14.
Thus, LCM of Fractions is 7752.Finally, LCM of Fractions for 646/966, 5712/266 is 7752.