Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/316, 8345/5810 quickly i.e. 200280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/316, 8345/5810 is 200280.
LCM(48/316, 8345/5810) = 200280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/316,8345/5810
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 48,8345
Least Common Multiple of Numerators i.e. LCM of 48,8345 is 400560.
GCF of Denominators means GCF of 316,5810 as per the given fractions.
GCF of 316,5810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,8345
Given numbers has no common factors except 1. So, there LCM is their product i.e 400560
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 48,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,8345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,8345) x common factors =1 x 1 = 1
LCM(48,8345) = ( 48 × 8345 ) / 1
LCM(48,8345) = 400560 / 1
LCM(48,8345) = 400560
Lets's calculate GCF of 316,5810
2 | 316, 5810 |
158, 2905 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400560/2
Therefore the LCM of Fractions 48/316,8345/5810 is 200280
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 5810
List of positive integer factors of 5810 that divides 5810 without a remainder.
1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 316,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 316,5810 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 48/316, 8345/5810?
Answer: LCM of Numerators as per given numbers 48/316, 8345/5810 is
LCM of Numerators i.e. for 48,8345 is 400560
GCF of denominators i.e. for 316,5810 is 2.
Thus, LCM of Fractions is 200280.Finally, LCM of Fractions for 48/316, 8345/5810 is 200280.