Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5101/701, 6518/2765 quickly i.e. 33248318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5101/701, 6518/2765 is 33248318.
LCM(5101/701, 6518/2765) = 33248318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5101/701,6518/2765
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 5101,6518
Least Common Multiple of Numerators i.e. LCM of 5101,6518 is 33248318.
GCF of Denominators means GCF of 701,2765 as per the given fractions.
GCF of 701,2765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5101,6518
Given numbers has no common factors except 1. So, there LCM is their product i.e 33248318
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 5101,6518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5101,6518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5101,6518) x common factors =1 x 1 = 1
LCM(5101,6518) = ( 5101 × 6518 ) / 1
LCM(5101,6518) = 33248318 / 1
LCM(5101,6518) = 33248318
Lets's calculate GCF of 701,2765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33248318/1
Therefore the LCM of Fractions 5101/701,6518/2765 is 33248318
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 2765
List of positive integer factors of 2765 that divides 2765 without a remainder.
1,5,7,35,79,395,553,2765
Greatest Common Factor
We found the factors 701,2765 . The biggest common factor number is the GCF number.
So the greatest common factor 701,2765 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 5101/701, 6518/2765?
Answer: LCM of Numerators as per given numbers 5101/701, 6518/2765 is
LCM of Numerators i.e. for 5101,6518 is 33248318
GCF of denominators i.e. for 701,2765 is 1.
Thus, LCM of Fractions is 33248318.Finally, LCM of Fractions for 5101/701, 6518/2765 is 33248318.