Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/20, 765/71, 640/219 quickly i.e. 1077120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/20, 765/71, 640/219 is 1077120.
LCM(440/20, 765/71, 640/219) = 1077120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/20,765/71,640/219
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 440,765,640
Least Common Multiple of Numerators i.e. LCM of 440,765,640 is 1077120.
GCF of Denominators means GCF of 20,71,219 as per the given fractions.
GCF of 20,71,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,765,640
2 | 440, 765, 640 |
2 | 220, 765, 320 |
2 | 110, 765, 160 |
5 | 55, 765, 80 |
11, 153, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 153 x 16 = 1077120
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 440,765,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,765,640) = 5
common factors(in case of two or more numbers have common factors) = 40
GCF(440,765,640) x common factors =5 x 40 = 200
LCM(440,765,640) = ( 440 × 765 × 640 ) / 200
LCM(440,765,640) = 215424000 / 200
LCM(440,765,640) = 1077120
Lets's calculate GCF of 20,71,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077120/1
Therefore the LCM of Fractions 440/20,765/71,640/219 is 1077120
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 20,71,219 . The biggest common factor number is the GCF number.
So the greatest common factor 20,71,219 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 440/20, 765/71, 640/219?
Answer: LCM of Numerators as per given numbers 440/20, 765/71, 640/219 is
LCM of Numerators i.e. for 440,765,640 is 1077120
GCF of denominators i.e. for 20,71,219 is 1.
Thus, LCM of Fractions is 1077120.Finally, LCM of Fractions for 440/20, 765/71, 640/219 is 1077120.