Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 374/57, 296/72, 771/595 quickly i.e. 42676392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 374/57, 296/72, 771/595 is 42676392.
LCM(374/57, 296/72, 771/595) = 42676392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 374/57,296/72,771/595
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 374,296,771
Least Common Multiple of Numerators i.e. LCM of 374,296,771 is 42676392.
GCF of Denominators means GCF of 57,72,595 as per the given fractions.
GCF of 57,72,595 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 374,296,771
2 | 374, 296, 771 |
187, 148, 771 |
∴ So the LCM of the given numbers is 2 x 187 x 148 x 771 = 42676392
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 374,296,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,296,771) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(374,296,771) x common factors =1 x 2 = 2
LCM(374,296,771) = ( 374 × 296 × 771 ) / 2
LCM(374,296,771) = 85352784 / 2
LCM(374,296,771) = 42676392
Lets's calculate GCF of 57,72,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42676392/1
Therefore the LCM of Fractions 374/57,296/72,771/595 is 42676392
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 57,72,595 . The biggest common factor number is the GCF number.
So the greatest common factor 57,72,595 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 374/57, 296/72, 771/595?
Answer: LCM of Numerators as per given numbers 374/57, 296/72, 771/595 is
LCM of Numerators i.e. for 374,296,771 is 42676392
GCF of denominators i.e. for 57,72,595 is 1.
Thus, LCM of Fractions is 42676392.Finally, LCM of Fractions for 374/57, 296/72, 771/595 is 42676392.