Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/33, 39/35, 54/83, 71/160 quickly i.e. 1445418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/33, 39/35, 54/83, 71/160 is 1445418.
LCM(87/33, 39/35, 54/83, 71/160) = 1445418
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/33,39/35,54/83,71/160
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 87,39,54,71
Least Common Multiple of Numerators i.e. LCM of 87,39,54,71 is 1445418.
GCF of Denominators means GCF of 33,35,83,160 as per the given fractions.
GCF of 33,35,83,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,39,54,71
3 | 87, 39, 54, 71 |
29, 13, 18, 71 |
∴ So the LCM of the given numbers is 3 x 29 x 13 x 18 x 71 = 1445418
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 87,39,54,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,39,54,71) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(87,39,54,71) x common factors =1 x 9 = 9
LCM(87,39,54,71) = ( 87 × 39 × 54 × 71 ) / 9
LCM(87,39,54,71) = 13008762 / 9
LCM(87,39,54,71) = 1445418
Lets's calculate GCF of 33,35,83,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445418/1
Therefore the LCM of Fractions 87/33,39/35,54/83,71/160 is 1445418
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 33,35,83,160 . The biggest common factor number is the GCF number.
So the greatest common factor 33,35,83,160 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 87/33, 39/35, 54/83, 71/160?
Answer: LCM of Numerators as per given numbers 87/33, 39/35, 54/83, 71/160 is
LCM of Numerators i.e. for 87,39,54,71 is 1445418
GCF of denominators i.e. for 33,35,83,160 is 1.
Thus, LCM of Fractions is 1445418.Finally, LCM of Fractions for 87/33, 39/35, 54/83, 71/160 is 1445418.