Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9888/736, 6477/348 quickly i.e. 5337048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9888/736, 6477/348 is 5337048.
LCM(9888/736, 6477/348) = 5337048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9888/736,6477/348
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 9888,6477
Least Common Multiple of Numerators i.e. LCM of 9888,6477 is 21348192.
GCF of Denominators means GCF of 736,348 as per the given fractions.
GCF of 736,348 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9888,6477
3 | 9888, 6477 |
3296, 2159 |
∴ So the LCM of the given numbers is 3 x 3296 x 2159 = 21348192
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 9888,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9888,6477) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9888,6477) x common factors =3 x 1 = 3
LCM(9888,6477) = ( 9888 × 6477 ) / 3
LCM(9888,6477) = 64044576 / 3
LCM(9888,6477) = 21348192
Lets's calculate GCF of 736,348
2 | 736, 348 |
2 | 368, 174 |
184, 87 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21348192/4
Therefore the LCM of Fractions 9888/736,6477/348 is 5337048
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 736,348 . The biggest common factor number is the GCF number.
So the greatest common factor 736,348 is 4.
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 9888/736, 6477/348?
Answer: LCM of Numerators as per given numbers 9888/736, 6477/348 is
LCM of Numerators i.e. for 9888,6477 is 21348192
GCF of denominators i.e. for 736,348 is 4.
Thus, LCM of Fractions is 5337048.Finally, LCM of Fractions for 9888/736, 6477/348 is 5337048.