Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3270/476, 5852/660 quickly i.e. 2392005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3270/476, 5852/660 is 2392005.
LCM(3270/476, 5852/660) = 2392005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3270/476,5852/660
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 3270,5852
Least Common Multiple of Numerators i.e. LCM of 3270,5852 is 9568020.
GCF of Denominators means GCF of 476,660 as per the given fractions.
GCF of 476,660 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3270,5852
2 | 3270, 5852 |
1635, 2926 |
∴ So the LCM of the given numbers is 2 x 1635 x 2926 = 9568020
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 3270,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3270,5852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3270,5852) x common factors =2 x 1 = 2
LCM(3270,5852) = ( 3270 × 5852 ) / 2
LCM(3270,5852) = 19136040 / 2
LCM(3270,5852) = 9568020
Lets's calculate GCF of 476,660
2 | 476, 660 |
2 | 238, 330 |
119, 165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9568020/4
Therefore the LCM of Fractions 3270/476,5852/660 is 2392005
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 476,660 . The biggest common factor number is the GCF number.
So the greatest common factor 476,660 is 4.
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 3270/476, 5852/660?
Answer: LCM of Numerators as per given numbers 3270/476, 5852/660 is
LCM of Numerators i.e. for 3270,5852 is 9568020
GCF of denominators i.e. for 476,660 is 4.
Thus, LCM of Fractions is 2392005.Finally, LCM of Fractions for 3270/476, 5852/660 is 2392005.