Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7262/646, 3537/519 quickly i.e. 25685694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7262/646, 3537/519 is 25685694.
LCM(7262/646, 3537/519) = 25685694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7262/646,3537/519
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 7262,3537
Least Common Multiple of Numerators i.e. LCM of 7262,3537 is 25685694.
GCF of Denominators means GCF of 646,519 as per the given fractions.
GCF of 646,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7262,3537
Given numbers has no common factors except 1. So, there LCM is their product i.e 25685694
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 7262,3537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7262,3537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7262,3537) x common factors =1 x 1 = 1
LCM(7262,3537) = ( 7262 × 3537 ) / 1
LCM(7262,3537) = 25685694 / 1
LCM(7262,3537) = 25685694
Lets's calculate GCF of 646,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25685694/1
Therefore the LCM of Fractions 7262/646,3537/519 is 25685694
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 646,519 . The biggest common factor number is the GCF number.
So the greatest common factor 646,519 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 7262/646, 3537/519?
Answer: LCM of Numerators as per given numbers 7262/646, 3537/519 is
LCM of Numerators i.e. for 7262,3537 is 25685694
GCF of denominators i.e. for 646,519 is 1.
Thus, LCM of Fractions is 25685694.Finally, LCM of Fractions for 7262/646, 3537/519 is 25685694.