Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/50, 8/82, 3/85, 87/877 quickly i.e. 696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/50, 8/82, 3/85, 87/877 is 696.
LCM(4/50, 8/82, 3/85, 87/877) = 696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/50,8/82,3/85,87/877
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 4,8,3,87
Least Common Multiple of Numerators i.e. LCM of 4,8,3,87 is 696.
GCF of Denominators means GCF of 50,82,85,877 as per the given fractions.
GCF of 50,82,85,877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,8,3,87
2 | 4, 8, 3, 87 |
2 | 2, 4, 3, 87 |
3 | 1, 2, 3, 87 |
1, 2, 1, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 1 x 29 = 696
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 4,8,3,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,8,3,87) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(4,8,3,87) x common factors =1 x 12 = 12
LCM(4,8,3,87) = ( 4 × 8 × 3 × 87 ) / 12
LCM(4,8,3,87) = 8352 / 12
LCM(4,8,3,87) = 696
Lets's calculate GCF of 50,82,85,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696/1
Therefore the LCM of Fractions 4/50,8/82,3/85,87/877 is 696
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 50,82,85,877 . The biggest common factor number is the GCF number.
So the greatest common factor 50,82,85,877 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 4/50, 8/82, 3/85, 87/877?
Answer: LCM of Numerators as per given numbers 4/50, 8/82, 3/85, 87/877 is
LCM of Numerators i.e. for 4,8,3,87 is 696
GCF of denominators i.e. for 50,82,85,877 is 1.
Thus, LCM of Fractions is 696.Finally, LCM of Fractions for 4/50, 8/82, 3/85, 87/877 is 696.