Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 552/82, 482/2464 quickly i.e. 66516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 552/82, 482/2464 is 66516.
LCM(552/82, 482/2464) = 66516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 552/82,482/2464
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 552,482
Least Common Multiple of Numerators i.e. LCM of 552,482 is 133032.
GCF of Denominators means GCF of 82,2464 as per the given fractions.
GCF of 82,2464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 552,482
2 | 552, 482 |
276, 241 |
∴ So the LCM of the given numbers is 2 x 276 x 241 = 133032
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 552,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(552,482) x common factors =2 x 1 = 2
LCM(552,482) = ( 552 × 482 ) / 2
LCM(552,482) = 266064 / 2
LCM(552,482) = 133032
Lets's calculate GCF of 82,2464
2 | 82, 2464 |
41, 1232 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133032/2
Therefore the LCM of Fractions 552/82,482/2464 is 66516
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 2464
List of positive integer factors of 2464 that divides 2464 without a remainder.
1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Greatest Common Factor
We found the factors 82,2464 . The biggest common factor number is the GCF number.
So the greatest common factor 82,2464 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 552/82, 482/2464?
Answer: LCM of Numerators as per given numbers 552/82, 482/2464 is
LCM of Numerators i.e. for 552,482 is 133032
GCF of denominators i.e. for 82,2464 is 2.
Thus, LCM of Fractions is 66516.Finally, LCM of Fractions for 552/82, 482/2464 is 66516.