Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/986, 96/569, 484/220 quickly i.e. 290400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/986, 96/569, 484/220 is 290400.
LCM(75/986, 96/569, 484/220) = 290400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/986,96/569,484/220
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 75,96,484
Least Common Multiple of Numerators i.e. LCM of 75,96,484 is 290400.
GCF of Denominators means GCF of 986,569,220 as per the given fractions.
GCF of 986,569,220 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,96,484
2 | 75, 96, 484 |
2 | 75, 48, 242 |
3 | 75, 24, 121 |
25, 8, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 8 x 121 = 290400
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 75,96,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,96,484) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(75,96,484) x common factors =1 x 12 = 12
LCM(75,96,484) = ( 75 × 96 × 484 ) / 12
LCM(75,96,484) = 3484800 / 12
LCM(75,96,484) = 290400
Lets's calculate GCF of 986,569,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290400/1
Therefore the LCM of Fractions 75/986,96/569,484/220 is 290400
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
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 986,569,220 . The biggest common factor number is the GCF number.
So the greatest common factor 986,569,220 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 75/986, 96/569, 484/220?
Answer: LCM of Numerators as per given numbers 75/986, 96/569, 484/220 is
LCM of Numerators i.e. for 75,96,484 is 290400
GCF of denominators i.e. for 986,569,220 is 1.
Thus, LCM of Fractions is 290400.Finally, LCM of Fractions for 75/986, 96/569, 484/220 is 290400.