Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/25, 51/42, 96/60, 86/405 quickly i.e. 2035104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/25, 51/42, 96/60, 86/405 is 2035104.
LCM(87/25, 51/42, 96/60, 86/405) = 2035104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/25,51/42,96/60,86/405
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 87,51,96,86
Least Common Multiple of Numerators i.e. LCM of 87,51,96,86 is 2035104.
GCF of Denominators means GCF of 25,42,60,405 as per the given fractions.
GCF of 25,42,60,405 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,51,96,86
2 | 87, 51, 96, 86 |
3 | 87, 51, 48, 43 |
29, 17, 16, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 17 x 16 x 43 = 2035104
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 87,51,96,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,51,96,86) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(87,51,96,86) x common factors =1 x 18 = 18
LCM(87,51,96,86) = ( 87 × 51 × 96 × 86 ) / 18
LCM(87,51,96,86) = 36631872 / 18
LCM(87,51,96,86) = 2035104
Lets's calculate GCF of 25,42,60,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2035104/1
Therefore the LCM of Fractions 87/25,51/42,96/60,86/405 is 2035104
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 25,42,60,405 . The biggest common factor number is the GCF number.
So the greatest common factor 25,42,60,405 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 87/25, 51/42, 96/60, 86/405?
Answer: LCM of Numerators as per given numbers 87/25, 51/42, 96/60, 86/405 is
LCM of Numerators i.e. for 87,51,96,86 is 2035104
GCF of denominators i.e. for 25,42,60,405 is 1.
Thus, LCM of Fractions is 2035104.Finally, LCM of Fractions for 87/25, 51/42, 96/60, 86/405 is 2035104.