Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/36, 323/35, 289/851 quickly i.e. 406334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/36, 323/35, 289/851 is 406334.
LCM(74/36, 323/35, 289/851) = 406334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/36,323/35,289/851
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 74,323,289
Least Common Multiple of Numerators i.e. LCM of 74,323,289 is 406334.
GCF of Denominators means GCF of 36,35,851 as per the given fractions.
GCF of 36,35,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,323,289
17 | 74, 323, 289 |
74, 19, 17 |
∴ So the LCM of the given numbers is 17 x 74 x 19 x 17 = 406334
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 74,323,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,323,289) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(74,323,289) x common factors =1 x 17 = 17
LCM(74,323,289) = ( 74 × 323 × 289 ) / 17
LCM(74,323,289) = 6907678 / 17
LCM(74,323,289) = 406334
Lets's calculate GCF of 36,35,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406334/1
Therefore the LCM of Fractions 74/36,323/35,289/851 is 406334
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 36,35,851 . The biggest common factor number is the GCF number.
So the greatest common factor 36,35,851 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 74/36, 323/35, 289/851?
Answer: LCM of Numerators as per given numbers 74/36, 323/35, 289/851 is
LCM of Numerators i.e. for 74,323,289 is 406334
GCF of denominators i.e. for 36,35,851 is 1.
Thus, LCM of Fractions is 406334.Finally, LCM of Fractions for 74/36, 323/35, 289/851 is 406334.