Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/752, 2180/2439 quickly i.e. 1698220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/752, 2180/2439 is 1698220.
LCM(779/752, 2180/2439) = 1698220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/752,2180/2439
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 779,2180
Least Common Multiple of Numerators i.e. LCM of 779,2180 is 1698220.
GCF of Denominators means GCF of 752,2439 as per the given fractions.
GCF of 752,2439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,2180
Given numbers has no common factors except 1. So, there LCM is their product i.e 1698220
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 779,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,2180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,2180) x common factors =1 x 1 = 1
LCM(779,2180) = ( 779 × 2180 ) / 1
LCM(779,2180) = 1698220 / 1
LCM(779,2180) = 1698220
Lets's calculate GCF of 752,2439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1698220/1
Therefore the LCM of Fractions 779/752,2180/2439 is 1698220
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 2439
List of positive integer factors of 2439 that divides 2439 without a remainder.
1,3,9,271,813,2439
Greatest Common Factor
We found the factors 752,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 752,2439 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 779/752, 2180/2439?
Answer: LCM of Numerators as per given numbers 779/752, 2180/2439 is
LCM of Numerators i.e. for 779,2180 is 1698220
GCF of denominators i.e. for 752,2439 is 1.
Thus, LCM of Fractions is 1698220.Finally, LCM of Fractions for 779/752, 2180/2439 is 1698220.