Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/10, 3/71, 58/75, 80/987 quickly i.e. 6960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/10, 3/71, 58/75, 80/987 is 6960.
LCM(8/10, 3/71, 58/75, 80/987) = 6960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/10,3/71,58/75,80/987
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 8,3,58,80
Least Common Multiple of Numerators i.e. LCM of 8,3,58,80 is 6960.
GCF of Denominators means GCF of 10,71,75,987 as per the given fractions.
GCF of 10,71,75,987 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,3,58,80
2 | 8, 3, 58, 80 |
2 | 4, 3, 29, 40 |
2 | 2, 3, 29, 20 |
1, 3, 29, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 3 x 29 x 10 = 6960
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 8,3,58,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,3,58,80) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(8,3,58,80) x common factors =1 x 16 = 16
LCM(8,3,58,80) = ( 8 × 3 × 58 × 80 ) / 16
LCM(8,3,58,80) = 111360 / 16
LCM(8,3,58,80) = 6960
Lets's calculate GCF of 10,71,75,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6960/1
Therefore the LCM of Fractions 8/10,3/71,58/75,80/987 is 6960
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 10,71,75,987 . The biggest common factor number is the GCF number.
So the greatest common factor 10,71,75,987 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 8/10, 3/71, 58/75, 80/987?
Answer: LCM of Numerators as per given numbers 8/10, 3/71, 58/75, 80/987 is
LCM of Numerators i.e. for 8,3,58,80 is 6960
GCF of denominators i.e. for 10,71,75,987 is 1.
Thus, LCM of Fractions is 6960.Finally, LCM of Fractions for 8/10, 3/71, 58/75, 80/987 is 6960.