Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/39, 71/56, 68/187 quickly i.e. 91732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/39, 71/56, 68/187 is 91732.
LCM(76/39, 71/56, 68/187) = 91732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/39,71/56,68/187
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 76,71,68
Least Common Multiple of Numerators i.e. LCM of 76,71,68 is 91732.
GCF of Denominators means GCF of 39,56,187 as per the given fractions.
GCF of 39,56,187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,71,68
2 | 76, 71, 68 |
2 | 38, 71, 34 |
19, 71, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 71 x 17 = 91732
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 76,71,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,71,68) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,71,68) x common factors =1 x 4 = 4
LCM(76,71,68) = ( 76 × 71 × 68 ) / 4
LCM(76,71,68) = 366928 / 4
LCM(76,71,68) = 91732
Lets's calculate GCF of 39,56,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91732/1
Therefore the LCM of Fractions 76/39,71/56,68/187 is 91732
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 39,56,187 . The biggest common factor number is the GCF number.
So the greatest common factor 39,56,187 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 76/39, 71/56, 68/187?
Answer: LCM of Numerators as per given numbers 76/39, 71/56, 68/187 is
LCM of Numerators i.e. for 76,71,68 is 91732
GCF of denominators i.e. for 39,56,187 is 1.
Thus, LCM of Fractions is 91732.Finally, LCM of Fractions for 76/39, 71/56, 68/187 is 91732.