Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/736, 8318/3062 quickly i.e. 128929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/736, 8318/3062 is 128929.
LCM(62/736, 8318/3062) = 128929
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/736,8318/3062
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 62,8318
Least Common Multiple of Numerators i.e. LCM of 62,8318 is 257858.
GCF of Denominators means GCF of 736,3062 as per the given fractions.
GCF of 736,3062 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,8318
2 | 62, 8318 |
31, 4159 |
∴ So the LCM of the given numbers is 2 x 31 x 4159 = 257858
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 62,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8318) x common factors =2 x 1 = 2
LCM(62,8318) = ( 62 × 8318 ) / 2
LCM(62,8318) = 515716 / 2
LCM(62,8318) = 257858
Lets's calculate GCF of 736,3062
2 | 736, 3062 |
368, 1531 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257858/2
Therefore the LCM of Fractions 62/736,8318/3062 is 128929
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 3062
List of positive integer factors of 3062 that divides 3062 without a remainder.
1,2,1531,3062
Greatest Common Factor
We found the factors 736,3062 . The biggest common factor number is the GCF number.
So the greatest common factor 736,3062 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 62/736, 8318/3062?
Answer: LCM of Numerators as per given numbers 62/736, 8318/3062 is
LCM of Numerators i.e. for 62,8318 is 257858
GCF of denominators i.e. for 736,3062 is 2.
Thus, LCM of Fractions is 128929.Finally, LCM of Fractions for 62/736, 8318/3062 is 128929.