Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/736, 8315/4973 quickly i.e. 1471755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/736, 8315/4973 is 1471755.
LCM(885/736, 8315/4973) = 1471755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/736,8315/4973
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 885,8315
Least Common Multiple of Numerators i.e. LCM of 885,8315 is 1471755.
GCF of Denominators means GCF of 736,4973 as per the given fractions.
GCF of 736,4973 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,8315
5 | 885, 8315 |
177, 1663 |
∴ So the LCM of the given numbers is 5 x 177 x 1663 = 1471755
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 885,8315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,8315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(885,8315) x common factors =5 x 1 = 5
LCM(885,8315) = ( 885 × 8315 ) / 5
LCM(885,8315) = 7358775 / 5
LCM(885,8315) = 1471755
Lets's calculate GCF of 736,4973
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1471755/1
Therefore the LCM of Fractions 885/736,8315/4973 is 1471755
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 4973
List of positive integer factors of 4973 that divides 4973 without a remainder.
1,4973
Greatest Common Factor
We found the factors 736,4973 . The biggest common factor number is the GCF number.
So the greatest common factor 736,4973 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 885/736, 8315/4973?
Answer: LCM of Numerators as per given numbers 885/736, 8315/4973 is
LCM of Numerators i.e. for 885,8315 is 1471755
GCF of denominators i.e. for 736,4973 is 1.
Thus, LCM of Fractions is 1471755.Finally, LCM of Fractions for 885/736, 8315/4973 is 1471755.