Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 908/25, 408/74, 845/233 quickly i.e. 78260520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 908/25, 408/74, 845/233 is 78260520.
LCM(908/25, 408/74, 845/233) = 78260520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 908/25,408/74,845/233
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 908,408,845
Least Common Multiple of Numerators i.e. LCM of 908,408,845 is 78260520.
GCF of Denominators means GCF of 25,74,233 as per the given fractions.
GCF of 25,74,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 908,408,845
2 | 908, 408, 845 |
2 | 454, 204, 845 |
227, 102, 845 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 102 x 845 = 78260520
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 908,408,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,408,845) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(908,408,845) x common factors =1 x 4 = 4
LCM(908,408,845) = ( 908 × 408 × 845 ) / 4
LCM(908,408,845) = 313042080 / 4
LCM(908,408,845) = 78260520
Lets's calculate GCF of 25,74,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78260520/1
Therefore the LCM of Fractions 908/25,408/74,845/233 is 78260520
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 25,74,233 . The biggest common factor number is the GCF number.
So the greatest common factor 25,74,233 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 908/25, 408/74, 845/233?
Answer: LCM of Numerators as per given numbers 908/25, 408/74, 845/233 is
LCM of Numerators i.e. for 908,408,845 is 78260520
GCF of denominators i.e. for 25,74,233 is 1.
Thus, LCM of Fractions is 78260520.Finally, LCM of Fractions for 908/25, 408/74, 845/233 is 78260520.