Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/76, 34/14, 82/24, 862/87 quickly i.e. 22830932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/76, 34/14, 82/24, 862/87 is 22830932.
LCM(76/76, 34/14, 82/24, 862/87) = 22830932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/76,34/14,82/24,862/87
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 76,34,82,862
Least Common Multiple of Numerators i.e. LCM of 76,34,82,862 is 22830932.
GCF of Denominators means GCF of 76,14,24,87 as per the given fractions.
GCF of 76,14,24,87 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,34,82,862
2 | 76, 34, 82, 862 |
38, 17, 41, 431 |
∴ So the LCM of the given numbers is 2 x 38 x 17 x 41 x 431 = 22830932
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 76,34,82,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,34,82,862) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(76,34,82,862) x common factors =2 x 4 = 8
LCM(76,34,82,862) = ( 76 × 34 × 82 × 862 ) / 8
LCM(76,34,82,862) = 182647456 / 8
LCM(76,34,82,862) = 22830932
Lets's calculate GCF of 76,14,24,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22830932/1
Therefore the LCM of Fractions 76/76,34/14,82/24,862/87 is 22830932
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 76,14,24,87 . The biggest common factor number is the GCF number.
So the greatest common factor 76,14,24,87 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 76/76, 34/14, 82/24, 862/87?
Answer: LCM of Numerators as per given numbers 76/76, 34/14, 82/24, 862/87 is
LCM of Numerators i.e. for 76,34,82,862 is 22830932
GCF of denominators i.e. for 76,14,24,87 is 1.
Thus, LCM of Fractions is 22830932.Finally, LCM of Fractions for 76/76, 34/14, 82/24, 862/87 is 22830932.