Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/265, 93/860, 522/616 quickly i.e. 16182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/265, 93/860, 522/616 is 16182.
LCM(87/265, 93/860, 522/616) = 16182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/265,93/860,522/616
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 87,93,522
Least Common Multiple of Numerators i.e. LCM of 87,93,522 is 16182.
GCF of Denominators means GCF of 265,860,616 as per the given fractions.
GCF of 265,860,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,93,522
3 | 87, 93, 522 |
29 | 29, 31, 174 |
1, 31, 6 |
∴ So the LCM of the given numbers is 3 x 29 x 1 x 31 x 6 = 16182
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 87,93,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,93,522) = 3
common factors(in case of two or more numbers have common factors) = 87
GCF(87,93,522) x common factors =3 x 87 = 261
LCM(87,93,522) = ( 87 × 93 × 522 ) / 261
LCM(87,93,522) = 4223502 / 261
LCM(87,93,522) = 16182
Lets's calculate GCF of 265,860,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16182/1
Therefore the LCM of Fractions 87/265,93/860,522/616 is 16182
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 265,860,616 . The biggest common factor number is the GCF number.
So the greatest common factor 265,860,616 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 87/265, 93/860, 522/616?
Answer: LCM of Numerators as per given numbers 87/265, 93/860, 522/616 is
LCM of Numerators i.e. for 87,93,522 is 16182
GCF of denominators i.e. for 265,860,616 is 1.
Thus, LCM of Fractions is 16182.Finally, LCM of Fractions for 87/265, 93/860, 522/616 is 16182.