Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/461, 6723/9380 quickly i.e. 416826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/461, 6723/9380 is 416826.
LCM(62/461, 6723/9380) = 416826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/461,6723/9380
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 62,6723
Least Common Multiple of Numerators i.e. LCM of 62,6723 is 416826.
GCF of Denominators means GCF of 461,9380 as per the given fractions.
GCF of 461,9380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,6723
Given numbers has no common factors except 1. So, there LCM is their product i.e 416826
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 62,6723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,6723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,6723) x common factors =1 x 1 = 1
LCM(62,6723) = ( 62 × 6723 ) / 1
LCM(62,6723) = 416826 / 1
LCM(62,6723) = 416826
Lets's calculate GCF of 461,9380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416826/1
Therefore the LCM of Fractions 62/461,6723/9380 is 416826
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 9380
List of positive integer factors of 9380 that divides 9380 without a remainder.
1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Greatest Common Factor
We found the factors 461,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 461,9380 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 62/461, 6723/9380?
Answer: LCM of Numerators as per given numbers 62/461, 6723/9380 is
LCM of Numerators i.e. for 62,6723 is 416826
GCF of denominators i.e. for 461,9380 is 1.
Thus, LCM of Fractions is 416826.Finally, LCM of Fractions for 62/461, 6723/9380 is 416826.