Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/54, 80/29, 66/83, 87/405 quickly i.e. 535920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/54, 80/29, 66/83, 87/405 is 535920.
LCM(35/54, 80/29, 66/83, 87/405) = 535920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/54,80/29,66/83,87/405
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 35,80,66,87
Least Common Multiple of Numerators i.e. LCM of 35,80,66,87 is 535920.
GCF of Denominators means GCF of 54,29,83,405 as per the given fractions.
GCF of 54,29,83,405 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,80,66,87
2 | 35, 80, 66, 87 |
3 | 35, 40, 33, 87 |
5 | 35, 40, 11, 29 |
7, 8, 11, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 8 x 11 x 29 = 535920
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 35,80,66,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,80,66,87) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(35,80,66,87) x common factors =1 x 30 = 30
LCM(35,80,66,87) = ( 35 × 80 × 66 × 87 ) / 30
LCM(35,80,66,87) = 16077600 / 30
LCM(35,80,66,87) = 535920
Lets's calculate GCF of 54,29,83,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535920/1
Therefore the LCM of Fractions 35/54,80/29,66/83,87/405 is 535920
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
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 54,29,83,405 . The biggest common factor number is the GCF number.
So the greatest common factor 54,29,83,405 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 35/54, 80/29, 66/83, 87/405?
Answer: LCM of Numerators as per given numbers 35/54, 80/29, 66/83, 87/405 is
LCM of Numerators i.e. for 35,80,66,87 is 535920
GCF of denominators i.e. for 54,29,83,405 is 1.
Thus, LCM of Fractions is 535920.Finally, LCM of Fractions for 35/54, 80/29, 66/83, 87/405 is 535920.