Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/440, 2554/360 quickly i.e. 1672870/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/440, 2554/360 is 1672870/40.
LCM(655/440, 2554/360) = 1672870/40
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/440,2554/360
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 655,2554
Least Common Multiple of Numerators i.e. LCM of 655,2554 is 1672870.
GCF of Denominators means GCF of 440,360 as per the given fractions.
GCF of 440,360 is 40 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,2554
Given numbers has no common factors except 1. So, there LCM is their product i.e 1672870
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 655,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,2554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,2554) x common factors =1 x 1 = 1
LCM(655,2554) = ( 655 × 2554 ) / 1
LCM(655,2554) = 1672870 / 1
LCM(655,2554) = 1672870
Lets's calculate GCF of 440,360
2 | 440, 360 |
2 | 220, 180 |
2 | 110, 90 |
5 | 55, 45 |
11, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1672870/40
Therefore the LCM of Fractions 655/440,2554/360 is 1672870/40
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 440,360 . The biggest common factor number is the GCF number.
So the greatest common factor 440,360 is 40.
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 655/440, 2554/360?
Answer: LCM of Numerators as per given numbers 655/440, 2554/360 is
LCM of Numerators i.e. for 655,2554 is 1672870
GCF of denominators i.e. for 440,360 is 40.
Thus, LCM of Fractions is 1672870/40.Finally, LCM of Fractions for 655/440, 2554/360 is 1672870/40.