Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/82, 53/386, 77/548 quickly i.e. 16324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/82, 53/386, 77/548 is 16324.
LCM(8/82, 53/386, 77/548) = 16324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/82,53/386,77/548
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 8,53,77
Least Common Multiple of Numerators i.e. LCM of 8,53,77 is 32648.
GCF of Denominators means GCF of 82,386,548 as per the given fractions.
GCF of 82,386,548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,53,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 32648
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 8,53,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,53,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,53,77) x common factors =1 x 1 = 1
LCM(8,53,77) = ( 8 × 53 × 77 ) / 1
LCM(8,53,77) = 32648 / 1
LCM(8,53,77) = 32648
Lets's calculate GCF of 82,386,548
2 | 82, 386, 548 |
41, 193, 274 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32648/2
Therefore the LCM of Fractions 8/82,53/386,77/548 is 16324
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 82,386,548 . The biggest common factor number is the GCF number.
So the greatest common factor 82,386,548 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 8/82, 53/386, 77/548?
Answer: LCM of Numerators as per given numbers 8/82, 53/386, 77/548 is
LCM of Numerators i.e. for 8,53,77 is 32648
GCF of denominators i.e. for 82,386,548 is 2.
Thus, LCM of Fractions is 16324.Finally, LCM of Fractions for 8/82, 53/386, 77/548 is 16324.