Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/661, 579/224, 932/360 quickly i.e. 10252932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/661, 579/224, 932/360 is 10252932.
LCM(38/661, 579/224, 932/360) = 10252932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/661,579/224,932/360
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 38,579,932
Least Common Multiple of Numerators i.e. LCM of 38,579,932 is 10252932.
GCF of Denominators means GCF of 661,224,360 as per the given fractions.
GCF of 661,224,360 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,579,932
2 | 38, 579, 932 |
19, 579, 466 |
∴ So the LCM of the given numbers is 2 x 19 x 579 x 466 = 10252932
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 38,579,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,579,932) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,579,932) x common factors =1 x 2 = 2
LCM(38,579,932) = ( 38 × 579 × 932 ) / 2
LCM(38,579,932) = 20505864 / 2
LCM(38,579,932) = 10252932
Lets's calculate GCF of 661,224,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10252932/1
Therefore the LCM of Fractions 38/661,579/224,932/360 is 10252932
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
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 661,224,360 . The biggest common factor number is the GCF number.
So the greatest common factor 661,224,360 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 38/661, 579/224, 932/360?
Answer: LCM of Numerators as per given numbers 38/661, 579/224, 932/360 is
LCM of Numerators i.e. for 38,579,932 is 10252932
GCF of denominators i.e. for 661,224,360 is 1.
Thus, LCM of Fractions is 10252932.Finally, LCM of Fractions for 38/661, 579/224, 932/360 is 10252932.