Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 790/21, 757/5176 quickly i.e. 598030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 790/21, 757/5176 is 598030.
LCM(790/21, 757/5176) = 598030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 790/21,757/5176
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 790,757
Least Common Multiple of Numerators i.e. LCM of 790,757 is 598030.
GCF of Denominators means GCF of 21,5176 as per the given fractions.
GCF of 21,5176 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 790,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 598030
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 790,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,757) x common factors =1 x 1 = 1
LCM(790,757) = ( 790 × 757 ) / 1
LCM(790,757) = 598030 / 1
LCM(790,757) = 598030
Lets's calculate GCF of 21,5176
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598030/1
Therefore the LCM of Fractions 790/21,757/5176 is 598030
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 5176
List of positive integer factors of 5176 that divides 5176 without a remainder.
1,2,4,8,647,1294,2588,5176
Greatest Common Factor
We found the factors 21,5176 . The biggest common factor number is the GCF number.
So the greatest common factor 21,5176 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 790/21, 757/5176?
Answer: LCM of Numerators as per given numbers 790/21, 757/5176 is
LCM of Numerators i.e. for 790,757 is 598030
GCF of denominators i.e. for 21,5176 is 1.
Thus, LCM of Fractions is 598030.Finally, LCM of Fractions for 790/21, 757/5176 is 598030.