Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/82, 76/35, 79/22, 71/767 quickly i.e. 37086708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/82, 76/35, 79/22, 71/767 is 37086708.
LCM(87/82, 76/35, 79/22, 71/767) = 37086708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/82,76/35,79/22,71/767
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 87,76,79,71
Least Common Multiple of Numerators i.e. LCM of 87,76,79,71 is 37086708.
GCF of Denominators means GCF of 82,35,22,767 as per the given fractions.
GCF of 82,35,22,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,76,79,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 37086708
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 87,76,79,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,76,79,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,76,79,71) x common factors =1 x 1 = 1
LCM(87,76,79,71) = ( 87 × 76 × 79 × 71 ) / 1
LCM(87,76,79,71) = 37086708 / 1
LCM(87,76,79,71) = 37086708
Lets's calculate GCF of 82,35,22,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37086708/1
Therefore the LCM of Fractions 87/82,76/35,79/22,71/767 is 37086708
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 82,35,22,767 . The biggest common factor number is the GCF number.
So the greatest common factor 82,35,22,767 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 87/82, 76/35, 79/22, 71/767?
Answer: LCM of Numerators as per given numbers 87/82, 76/35, 79/22, 71/767 is
LCM of Numerators i.e. for 87,76,79,71 is 37086708
GCF of denominators i.e. for 82,35,22,767 is 1.
Thus, LCM of Fractions is 37086708.Finally, LCM of Fractions for 87/82, 76/35, 79/22, 71/767 is 37086708.