Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2798/765, 2880/544 quickly i.e. 4029120/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2798/765, 2880/544 is 4029120/17.
LCM(2798/765, 2880/544) = 4029120/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2798/765,2880/544
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 2798,2880
Least Common Multiple of Numerators i.e. LCM of 2798,2880 is 4029120.
GCF of Denominators means GCF of 765,544 as per the given fractions.
GCF of 765,544 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2798,2880
2 | 2798, 2880 |
1399, 1440 |
∴ So the LCM of the given numbers is 2 x 1399 x 1440 = 4029120
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 2798,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2798,2880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2798,2880) x common factors =2 x 1 = 2
LCM(2798,2880) = ( 2798 × 2880 ) / 2
LCM(2798,2880) = 8058240 / 2
LCM(2798,2880) = 4029120
Lets's calculate GCF of 765,544
17 | 765, 544 |
45, 32 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4029120/17
Therefore the LCM of Fractions 2798/765,2880/544 is 4029120/17
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 765,544 . The biggest common factor number is the GCF number.
So the greatest common factor 765,544 is 17.
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 2798/765, 2880/544?
Answer: LCM of Numerators as per given numbers 2798/765, 2880/544 is
LCM of Numerators i.e. for 2798,2880 is 4029120
GCF of denominators i.e. for 765,544 is 17.
Thus, LCM of Fractions is 4029120/17.Finally, LCM of Fractions for 2798/765, 2880/544 is 4029120/17.