Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/280, 1507/7761 quickly i.e. 58773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/280, 1507/7761 is 58773.
LCM(39/280, 1507/7761) = 58773
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/280,1507/7761
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 39,1507
Least Common Multiple of Numerators i.e. LCM of 39,1507 is 58773.
GCF of Denominators means GCF of 280,7761 as per the given fractions.
GCF of 280,7761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,1507
Given numbers has no common factors except 1. So, there LCM is their product i.e 58773
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 39,1507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,1507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,1507) x common factors =1 x 1 = 1
LCM(39,1507) = ( 39 × 1507 ) / 1
LCM(39,1507) = 58773 / 1
LCM(39,1507) = 58773
Lets's calculate GCF of 280,7761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58773/1
Therefore the LCM of Fractions 39/280,1507/7761 is 58773
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 7761
List of positive integer factors of 7761 that divides 7761 without a remainder.
1,3,13,39,199,597,2587,7761
Greatest Common Factor
We found the factors 280,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 280,7761 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 39/280, 1507/7761?
Answer: LCM of Numerators as per given numbers 39/280, 1507/7761 is
LCM of Numerators i.e. for 39,1507 is 58773
GCF of denominators i.e. for 280,7761 is 1.
Thus, LCM of Fractions is 58773.Finally, LCM of Fractions for 39/280, 1507/7761 is 58773.