Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 863/776, 3351/4015 quickly i.e. 2891913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 863/776, 3351/4015 is 2891913.
LCM(863/776, 3351/4015) = 2891913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 863/776,3351/4015
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 863,3351
Least Common Multiple of Numerators i.e. LCM of 863,3351 is 2891913.
GCF of Denominators means GCF of 776,4015 as per the given fractions.
GCF of 776,4015 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 863,3351
Given numbers has no common factors except 1. So, there LCM is their product i.e 2891913
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 863,3351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,3351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,3351) x common factors =1 x 1 = 1
LCM(863,3351) = ( 863 × 3351 ) / 1
LCM(863,3351) = 2891913 / 1
LCM(863,3351) = 2891913
Lets's calculate GCF of 776,4015
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2891913/1
Therefore the LCM of Fractions 863/776,3351/4015 is 2891913
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 4015
List of positive integer factors of 4015 that divides 4015 without a remainder.
1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors 776,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 776,4015 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 863/776, 3351/4015?
Answer: LCM of Numerators as per given numbers 863/776, 3351/4015 is
LCM of Numerators i.e. for 863,3351 is 2891913
GCF of denominators i.e. for 776,4015 is 1.
Thus, LCM of Fractions is 2891913.Finally, LCM of Fractions for 863/776, 3351/4015 is 2891913.