Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/86, 67/87, 93/85, 25/858 quickly i.e. 3582825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/86, 67/87, 93/85, 25/858 is 3582825.
LCM(69/86, 67/87, 93/85, 25/858) = 3582825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/86,67/87,93/85,25/858
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 69,67,93,25
Least Common Multiple of Numerators i.e. LCM of 69,67,93,25 is 3582825.
GCF of Denominators means GCF of 86,87,85,858 as per the given fractions.
GCF of 86,87,85,858 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,67,93,25
3 | 69, 67, 93, 25 |
23, 67, 31, 25 |
∴ So the LCM of the given numbers is 3 x 23 x 67 x 31 x 25 = 3582825
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 69,67,93,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,67,93,25) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,67,93,25) x common factors =1 x 3 = 3
LCM(69,67,93,25) = ( 69 × 67 × 93 × 25 ) / 3
LCM(69,67,93,25) = 10748475 / 3
LCM(69,67,93,25) = 3582825
Lets's calculate GCF of 86,87,85,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3582825/1
Therefore the LCM of Fractions 69/86,67/87,93/85,25/858 is 3582825
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 86,87,85,858 . The biggest common factor number is the GCF number.
So the greatest common factor 86,87,85,858 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 69/86, 67/87, 93/85, 25/858?
Answer: LCM of Numerators as per given numbers 69/86, 67/87, 93/85, 25/858 is
LCM of Numerators i.e. for 69,67,93,25 is 3582825
GCF of denominators i.e. for 86,87,85,858 is 1.
Thus, LCM of Fractions is 3582825.Finally, LCM of Fractions for 69/86, 67/87, 93/85, 25/858 is 3582825.