Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/62, 135/34, 106/365 quickly i.e. 443610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/62, 135/34, 106/365 is 443610.
LCM(93/62, 135/34, 106/365) = 443610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/62,135/34,106/365
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 93,135,106
Least Common Multiple of Numerators i.e. LCM of 93,135,106 is 443610.
GCF of Denominators means GCF of 62,34,365 as per the given fractions.
GCF of 62,34,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,135,106
3 | 93, 135, 106 |
31, 45, 106 |
∴ So the LCM of the given numbers is 3 x 31 x 45 x 106 = 443610
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 93,135,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,135,106) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,135,106) x common factors =1 x 3 = 3
LCM(93,135,106) = ( 93 × 135 × 106 ) / 3
LCM(93,135,106) = 1330830 / 3
LCM(93,135,106) = 443610
Lets's calculate GCF of 62,34,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443610/1
Therefore the LCM of Fractions 93/62,135/34,106/365 is 443610
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 62,34,365 . The biggest common factor number is the GCF number.
So the greatest common factor 62,34,365 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 93/62, 135/34, 106/365?
Answer: LCM of Numerators as per given numbers 93/62, 135/34, 106/365 is
LCM of Numerators i.e. for 93,135,106 is 443610
GCF of denominators i.e. for 62,34,365 is 1.
Thus, LCM of Fractions is 443610.Finally, LCM of Fractions for 93/62, 135/34, 106/365 is 443610.