Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 397/752, 5841/5206 quickly i.e. 2318877/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 397/752, 5841/5206 is 2318877/2.
LCM(397/752, 5841/5206) = 2318877/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 397/752,5841/5206
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 397,5841
Least Common Multiple of Numerators i.e. LCM of 397,5841 is 2318877.
GCF of Denominators means GCF of 752,5206 as per the given fractions.
GCF of 752,5206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 397,5841
Given numbers has no common factors except 1. So, there LCM is their product i.e 2318877
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 397,5841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,5841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,5841) x common factors =1 x 1 = 1
LCM(397,5841) = ( 397 × 5841 ) / 1
LCM(397,5841) = 2318877 / 1
LCM(397,5841) = 2318877
Lets's calculate GCF of 752,5206
2 | 752, 5206 |
376, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2318877/2
Therefore the LCM of Fractions 397/752,5841/5206 is 2318877/2
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 5206
List of positive integer factors of 5206 that divides 5206 without a remainder.
1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors 752,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 752,5206 is 2.
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 397/752, 5841/5206?
Answer: LCM of Numerators as per given numbers 397/752, 5841/5206 is
LCM of Numerators i.e. for 397,5841 is 2318877
GCF of denominators i.e. for 752,5206 is 2.
Thus, LCM of Fractions is 2318877/2.Finally, LCM of Fractions for 397/752, 5841/5206 is 2318877/2.