Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7127/574, 5282/2507 quickly i.e. 37644814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7127/574, 5282/2507 is 37644814.
LCM(7127/574, 5282/2507) = 37644814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7127/574,5282/2507
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 7127,5282
Least Common Multiple of Numerators i.e. LCM of 7127,5282 is 37644814.
GCF of Denominators means GCF of 574,2507 as per the given fractions.
GCF of 574,2507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7127,5282
Given numbers has no common factors except 1. So, there LCM is their product i.e 37644814
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 7127,5282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7127,5282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7127,5282) x common factors =1 x 1 = 1
LCM(7127,5282) = ( 7127 × 5282 ) / 1
LCM(7127,5282) = 37644814 / 1
LCM(7127,5282) = 37644814
Lets's calculate GCF of 574,2507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37644814/1
Therefore the LCM of Fractions 7127/574,5282/2507 is 37644814
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 2507
List of positive integer factors of 2507 that divides 2507 without a remainder.
1,23,109,2507
Greatest Common Factor
We found the factors 574,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 574,2507 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 7127/574, 5282/2507?
Answer: LCM of Numerators as per given numbers 7127/574, 5282/2507 is
LCM of Numerators i.e. for 7127,5282 is 37644814
GCF of denominators i.e. for 574,2507 is 1.
Thus, LCM of Fractions is 37644814.Finally, LCM of Fractions for 7127/574, 5282/2507 is 37644814.