Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6253/161, 3712/966 quickly i.e. 23211136/161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6253/161, 3712/966 is 23211136/161.
LCM(6253/161, 3712/966) = 23211136/161
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6253/161,3712/966
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 6253,3712
Least Common Multiple of Numerators i.e. LCM of 6253,3712 is 23211136.
GCF of Denominators means GCF of 161,966 as per the given fractions.
GCF of 161,966 is 161 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6253,3712
Given numbers has no common factors except 1. So, there LCM is their product i.e 23211136
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 6253,3712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6253,3712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6253,3712) x common factors =1 x 1 = 1
LCM(6253,3712) = ( 6253 × 3712 ) / 1
LCM(6253,3712) = 23211136 / 1
LCM(6253,3712) = 23211136
Lets's calculate GCF of 161,966
7 | 161, 966 |
23 | 23, 138 |
1, 6 |
∴ So the GCF of the given numbers is 7 x 23 = 161
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23211136/161
Therefore the LCM of Fractions 6253/161,3712/966 is 23211136/161
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
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
Greatest Common Factor
We found the factors 161,966 . The biggest common factor number is the GCF number.
So the greatest common factor 161,966 is 161.
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 6253/161, 3712/966?
Answer: LCM of Numerators as per given numbers 6253/161, 3712/966 is
LCM of Numerators i.e. for 6253,3712 is 23211136
GCF of denominators i.e. for 161,966 is 161.
Thus, LCM of Fractions is 23211136/161.Finally, LCM of Fractions for 6253/161, 3712/966 is 23211136/161.