Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4770/747, 4161/5877 quickly i.e. 735110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4770/747, 4161/5877 is 735110.
LCM(4770/747, 4161/5877) = 735110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4770/747,4161/5877
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 4770,4161
Least Common Multiple of Numerators i.e. LCM of 4770,4161 is 6615990.
GCF of Denominators means GCF of 747,5877 as per the given fractions.
GCF of 747,5877 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4770,4161
3 | 4770, 4161 |
1590, 1387 |
∴ So the LCM of the given numbers is 3 x 1590 x 1387 = 6615990
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 4770,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4770,4161) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4770,4161) x common factors =3 x 1 = 3
LCM(4770,4161) = ( 4770 × 4161 ) / 3
LCM(4770,4161) = 19847970 / 3
LCM(4770,4161) = 6615990
Lets's calculate GCF of 747,5877
3 | 747, 5877 |
3 | 249, 1959 |
83, 653 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6615990/9
Therefore the LCM of Fractions 4770/747,4161/5877 is 735110
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 5877
List of positive integer factors of 5877 that divides 5877 without a remainder.
1,3,9,653,1959,5877
Greatest Common Factor
We found the factors 747,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 747,5877 is 9.
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 4770/747, 4161/5877?
Answer: LCM of Numerators as per given numbers 4770/747, 4161/5877 is
LCM of Numerators i.e. for 4770,4161 is 6615990
GCF of denominators i.e. for 747,5877 is 9.
Thus, LCM of Fractions is 735110.Finally, LCM of Fractions for 4770/747, 4161/5877 is 735110.