Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3775/592, 5095/728 quickly i.e. 3846725/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3775/592, 5095/728 is 3846725/8.
LCM(3775/592, 5095/728) = 3846725/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3775/592,5095/728
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 3775,5095
Least Common Multiple of Numerators i.e. LCM of 3775,5095 is 3846725.
GCF of Denominators means GCF of 592,728 as per the given fractions.
GCF of 592,728 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3775,5095
5 | 3775, 5095 |
755, 1019 |
∴ So the LCM of the given numbers is 5 x 755 x 1019 = 3846725
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 3775,5095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3775,5095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(3775,5095) x common factors =5 x 1 = 5
LCM(3775,5095) = ( 3775 × 5095 ) / 5
LCM(3775,5095) = 19233625 / 5
LCM(3775,5095) = 3846725
Lets's calculate GCF of 592,728
2 | 592, 728 |
2 | 296, 364 |
2 | 148, 182 |
74, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3846725/8
Therefore the LCM of Fractions 3775/592,5095/728 is 3846725/8
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 592,728 . The biggest common factor number is the GCF number.
So the greatest common factor 592,728 is 8.
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 3775/592, 5095/728?
Answer: LCM of Numerators as per given numbers 3775/592, 5095/728 is
LCM of Numerators i.e. for 3775,5095 is 3846725
GCF of denominators i.e. for 592,728 is 8.
Thus, LCM of Fractions is 3846725/8.Finally, LCM of Fractions for 3775/592, 5095/728 is 3846725/8.