Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/96, 90/75, 86/95, 57/557 quickly i.e. 2132370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/96, 90/75, 86/95, 57/557 is 2132370.
LCM(87/96, 90/75, 86/95, 57/557) = 2132370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/96,90/75,86/95,57/557
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 87,90,86,57
Least Common Multiple of Numerators i.e. LCM of 87,90,86,57 is 2132370.
GCF of Denominators means GCF of 96,75,95,557 as per the given fractions.
GCF of 96,75,95,557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,90,86,57
2 | 87, 90, 86, 57 |
3 | 87, 45, 43, 57 |
29, 15, 43, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 15 x 43 x 19 = 2132370
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 87,90,86,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,90,86,57) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(87,90,86,57) x common factors =1 x 18 = 18
LCM(87,90,86,57) = ( 87 × 90 × 86 × 57 ) / 18
LCM(87,90,86,57) = 38382660 / 18
LCM(87,90,86,57) = 2132370
Lets's calculate GCF of 96,75,95,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2132370/1
Therefore the LCM of Fractions 87/96,90/75,86/95,57/557 is 2132370
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 96,75,95,557 . The biggest common factor number is the GCF number.
So the greatest common factor 96,75,95,557 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 87/96, 90/75, 86/95, 57/557?
Answer: LCM of Numerators as per given numbers 87/96, 90/75, 86/95, 57/557 is
LCM of Numerators i.e. for 87,90,86,57 is 2132370
GCF of denominators i.e. for 96,75,95,557 is 1.
Thus, LCM of Fractions is 2132370.Finally, LCM of Fractions for 87/96, 90/75, 86/95, 57/557 is 2132370.