Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/808, 48/433, 629/276 quickly i.e. 1237872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/808, 48/433, 629/276 is 1237872.
LCM(82/808, 48/433, 629/276) = 1237872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/808,48/433,629/276
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 82,48,629
Least Common Multiple of Numerators i.e. LCM of 82,48,629 is 1237872.
GCF of Denominators means GCF of 808,433,276 as per the given fractions.
GCF of 808,433,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,48,629
2 | 82, 48, 629 |
41, 24, 629 |
∴ So the LCM of the given numbers is 2 x 41 x 24 x 629 = 1237872
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 82,48,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,48,629) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,48,629) x common factors =1 x 2 = 2
LCM(82,48,629) = ( 82 × 48 × 629 ) / 2
LCM(82,48,629) = 2475744 / 2
LCM(82,48,629) = 1237872
Lets's calculate GCF of 808,433,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237872/1
Therefore the LCM of Fractions 82/808,48/433,629/276 is 1237872
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 808,433,276 . The biggest common factor number is the GCF number.
So the greatest common factor 808,433,276 is 1.
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 82/808, 48/433, 629/276?
Answer: LCM of Numerators as per given numbers 82/808, 48/433, 629/276 is
LCM of Numerators i.e. for 82,48,629 is 1237872
GCF of denominators i.e. for 808,433,276 is 1.
Thus, LCM of Fractions is 1237872.Finally, LCM of Fractions for 82/808, 48/433, 629/276 is 1237872.