Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6203/771, 7751/477 quickly i.e. 48079453/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6203/771, 7751/477 is 48079453/3.
LCM(6203/771, 7751/477) = 48079453/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6203/771,7751/477
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 6203,7751
Least Common Multiple of Numerators i.e. LCM of 6203,7751 is 48079453.
GCF of Denominators means GCF of 771,477 as per the given fractions.
GCF of 771,477 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6203,7751
Given numbers has no common factors except 1. So, there LCM is their product i.e 48079453
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 6203,7751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6203,7751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6203,7751) x common factors =1 x 1 = 1
LCM(6203,7751) = ( 6203 × 7751 ) / 1
LCM(6203,7751) = 48079453 / 1
LCM(6203,7751) = 48079453
Lets's calculate GCF of 771,477
3 | 771, 477 |
257, 159 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48079453/3
Therefore the LCM of Fractions 6203/771,7751/477 is 48079453/3
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 771,477 . The biggest common factor number is the GCF number.
So the greatest common factor 771,477 is 3.
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 6203/771, 7751/477?
Answer: LCM of Numerators as per given numbers 6203/771, 7751/477 is
LCM of Numerators i.e. for 6203,7751 is 48079453
GCF of denominators i.e. for 771,477 is 3.
Thus, LCM of Fractions is 48079453/3.Finally, LCM of Fractions for 6203/771, 7751/477 is 48079453/3.