Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1252/916, 2663/330 quickly i.e. 1667038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1252/916, 2663/330 is 1667038.
LCM(1252/916, 2663/330) = 1667038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1252/916,2663/330
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 1252,2663
Least Common Multiple of Numerators i.e. LCM of 1252,2663 is 3334076.
GCF of Denominators means GCF of 916,330 as per the given fractions.
GCF of 916,330 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1252,2663
Given numbers has no common factors except 1. So, there LCM is their product i.e 3334076
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 1252,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1252,2663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1252,2663) x common factors =1 x 1 = 1
LCM(1252,2663) = ( 1252 × 2663 ) / 1
LCM(1252,2663) = 3334076 / 1
LCM(1252,2663) = 3334076
Lets's calculate GCF of 916,330
2 | 916, 330 |
458, 165 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3334076/2
Therefore the LCM of Fractions 1252/916,2663/330 is 1667038
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 916,330 . The biggest common factor number is the GCF number.
So the greatest common factor 916,330 is 2.
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 1252/916, 2663/330?
Answer: LCM of Numerators as per given numbers 1252/916, 2663/330 is
LCM of Numerators i.e. for 1252,2663 is 3334076
GCF of denominators i.e. for 916,330 is 2.
Thus, LCM of Fractions is 1667038.Finally, LCM of Fractions for 1252/916, 2663/330 is 1667038.