Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 883/25, 462/3616 quickly i.e. 407946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 883/25, 462/3616 is 407946.
LCM(883/25, 462/3616) = 407946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 883/25,462/3616
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 883,462
Least Common Multiple of Numerators i.e. LCM of 883,462 is 407946.
GCF of Denominators means GCF of 25,3616 as per the given fractions.
GCF of 25,3616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 883,462
Given numbers has no common factors except 1. So, there LCM is their product i.e 407946
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 883,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,462) x common factors =1 x 1 = 1
LCM(883,462) = ( 883 × 462 ) / 1
LCM(883,462) = 407946 / 1
LCM(883,462) = 407946
Lets's calculate GCF of 25,3616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407946/1
Therefore the LCM of Fractions 883/25,462/3616 is 407946
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 3616
List of positive integer factors of 3616 that divides 3616 without a remainder.
1,2,4,8,16,32,113,226,452,904,1808,3616
Greatest Common Factor
We found the factors 25,3616 . The biggest common factor number is the GCF number.
So the greatest common factor 25,3616 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 883/25, 462/3616?
Answer: LCM of Numerators as per given numbers 883/25, 462/3616 is
LCM of Numerators i.e. for 883,462 is 407946
GCF of denominators i.e. for 25,3616 is 1.
Thus, LCM of Fractions is 407946.Finally, LCM of Fractions for 883/25, 462/3616 is 407946.