Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/568, 710/968, 483/220 quickly i.e. 1886115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/568, 710/968, 483/220 is 1886115.
LCM(220/568, 710/968, 483/220) = 1886115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/568,710/968,483/220
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 220,710,483
Least Common Multiple of Numerators i.e. LCM of 220,710,483 is 7544460.
GCF of Denominators means GCF of 568,968,220 as per the given fractions.
GCF of 568,968,220 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,710,483
2 | 220, 710, 483 |
5 | 110, 355, 483 |
22, 71, 483 |
∴ So the LCM of the given numbers is 2 x 5 x 22 x 71 x 483 = 7544460
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 220,710,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,710,483) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(220,710,483) x common factors =1 x 10 = 10
LCM(220,710,483) = ( 220 × 710 × 483 ) / 10
LCM(220,710,483) = 75444600 / 10
LCM(220,710,483) = 7544460
Lets's calculate GCF of 568,968,220
2 | 568, 968, 220 |
2 | 284, 484, 110 |
142, 242, 55 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7544460/4
Therefore the LCM of Fractions 220/568,710/968,483/220 is 1886115
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 568,968,220 . The biggest common factor number is the GCF number.
So the greatest common factor 568,968,220 is 4.
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 220/568, 710/968, 483/220?
Answer: LCM of Numerators as per given numbers 220/568, 710/968, 483/220 is
LCM of Numerators i.e. for 220,710,483 is 7544460
GCF of denominators i.e. for 568,968,220 is 4.
Thus, LCM of Fractions is 1886115.Finally, LCM of Fractions for 220/568, 710/968, 483/220 is 1886115.