Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/20, 55/58, 81/77 quickly i.e. 31185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/20, 55/58, 81/77 is 31185.
LCM(35/20, 55/58, 81/77) = 31185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/20,55/58,81/77
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 35,55,81
Least Common Multiple of Numerators i.e. LCM of 35,55,81 is 31185.
GCF of Denominators means GCF of 20,58,77 as per the given fractions.
GCF of 20,58,77 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,55,81
5 | 35, 55, 81 |
7, 11, 81 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 81 = 31185
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 35,55,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,55,81) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,55,81) x common factors =1 x 5 = 5
LCM(35,55,81) = ( 35 × 55 × 81 ) / 5
LCM(35,55,81) = 155925 / 5
LCM(35,55,81) = 31185
Lets's calculate GCF of 20,58,77
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31185/1
Therefore the LCM of Fractions 35/20,55/58,81/77 is 31185
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Greatest Common Factor
We found the factors 20,58,77 . The biggest common factor number is the GCF number.
So the greatest common factor 20,58,77 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 35/20, 55/58, 81/77?
Answer: LCM of Numerators as per given numbers 35/20, 55/58, 81/77 is
LCM of Numerators i.e. for 35,55,81 is 31185
GCF of denominators i.e. for 20,58,77 is 1.
Thus, LCM of Fractions is 31185.Finally, LCM of Fractions for 35/20, 55/58, 81/77 is 31185.