Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/68, 84/82, 43/43, 57/81 quickly i.e. 68628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/68, 84/82, 43/43, 57/81 is 68628.
LCM(76/68, 84/82, 43/43, 57/81) = 68628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/68,84/82,43/43,57/81
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 76,84,43,57
Least Common Multiple of Numerators i.e. LCM of 76,84,43,57 is 68628.
GCF of Denominators means GCF of 68,82,43,81 as per the given fractions.
GCF of 68,82,43,81 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,84,43,57
2 | 76, 84, 43, 57 |
2 | 38, 42, 43, 57 |
3 | 19, 21, 43, 57 |
19 | 19, 7, 43, 19 |
1, 7, 43, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 7 x 43 x 1 = 68628
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 76,84,43,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,84,43,57) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(76,84,43,57) x common factors =1 x 228 = 228
LCM(76,84,43,57) = ( 76 × 84 × 43 × 57 ) / 228
LCM(76,84,43,57) = 15647184 / 228
LCM(76,84,43,57) = 68628
Lets's calculate GCF of 68,82,43,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68628/1
Therefore the LCM of Fractions 76/68,84/82,43/43,57/81 is 68628
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 68,82,43,81 . The biggest common factor number is the GCF number.
So the greatest common factor 68,82,43,81 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 76/68, 84/82, 43/43, 57/81?
Answer: LCM of Numerators as per given numbers 76/68, 84/82, 43/43, 57/81 is
LCM of Numerators i.e. for 76,84,43,57 is 68628
GCF of denominators i.e. for 68,82,43,81 is 1.
Thus, LCM of Fractions is 68628.Finally, LCM of Fractions for 76/68, 84/82, 43/43, 57/81 is 68628.