Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/17, 2552/375 quickly i.e. 2018632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/17, 2552/375 is 2018632.
LCM(791/17, 2552/375) = 2018632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/17,2552/375
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 791,2552
Least Common Multiple of Numerators i.e. LCM of 791,2552 is 2018632.
GCF of Denominators means GCF of 17,375 as per the given fractions.
GCF of 17,375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,2552
Given numbers has no common factors except 1. So, there LCM is their product i.e 2018632
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 791,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,2552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,2552) x common factors =1 x 1 = 1
LCM(791,2552) = ( 791 × 2552 ) / 1
LCM(791,2552) = 2018632 / 1
LCM(791,2552) = 2018632
Lets's calculate GCF of 17,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2018632/1
Therefore the LCM of Fractions 791/17,2552/375 is 2018632
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 17,375 . The biggest common factor number is the GCF number.
So the greatest common factor 17,375 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 791/17, 2552/375?
Answer: LCM of Numerators as per given numbers 791/17, 2552/375 is
LCM of Numerators i.e. for 791,2552 is 2018632
GCF of denominators i.e. for 17,375 is 1.
Thus, LCM of Fractions is 2018632.Finally, LCM of Fractions for 791/17, 2552/375 is 2018632.