Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/63, 69/33, 15/39, 81/236 quickly i.e. 270135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/63, 69/33, 15/39, 81/236 is 270135.
LCM(87/63, 69/33, 15/39, 81/236) = 270135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/63,69/33,15/39,81/236
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 87,69,15,81
Least Common Multiple of Numerators i.e. LCM of 87,69,15,81 is 270135.
GCF of Denominators means GCF of 63,33,39,236 as per the given fractions.
GCF of 63,33,39,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,69,15,81
3 | 87, 69, 15, 81 |
29, 23, 5, 27 |
∴ So the LCM of the given numbers is 3 x 29 x 23 x 5 x 27 = 270135
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 87,69,15,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,69,15,81) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(87,69,15,81) x common factors =3 x 9 = 27
LCM(87,69,15,81) = ( 87 × 69 × 15 × 81 ) / 27
LCM(87,69,15,81) = 7293645 / 27
LCM(87,69,15,81) = 270135
Lets's calculate GCF of 63,33,39,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270135/1
Therefore the LCM of Fractions 87/63,69/33,15/39,81/236 is 270135
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 63,33,39,236 . The biggest common factor number is the GCF number.
So the greatest common factor 63,33,39,236 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 87/63, 69/33, 15/39, 81/236?
Answer: LCM of Numerators as per given numbers 87/63, 69/33, 15/39, 81/236 is
LCM of Numerators i.e. for 87,69,15,81 is 270135
GCF of denominators i.e. for 63,33,39,236 is 1.
Thus, LCM of Fractions is 270135.Finally, LCM of Fractions for 87/63, 69/33, 15/39, 81/236 is 270135.