Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 105/20, 562/12, 315/347 quickly i.e. 177030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 105/20, 562/12, 315/347 is 177030.
LCM(105/20, 562/12, 315/347) = 177030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 105/20,562/12,315/347
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 105,562,315
Least Common Multiple of Numerators i.e. LCM of 105,562,315 is 177030.
GCF of Denominators means GCF of 20,12,347 as per the given fractions.
GCF of 20,12,347 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 105,562,315
3 | 105, 562, 315 |
5 | 35, 562, 105 |
7 | 7, 562, 21 |
1, 562, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 562 x 3 = 177030
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 105,562,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,562,315) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(105,562,315) x common factors =1 x 105 = 105
LCM(105,562,315) = ( 105 × 562 × 315 ) / 105
LCM(105,562,315) = 18588150 / 105
LCM(105,562,315) = 177030
Lets's calculate GCF of 20,12,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177030/1
Therefore the LCM of Fractions 105/20,562/12,315/347 is 177030
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Greatest Common Factor
We found the factors 20,12,347 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,347 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 105/20, 562/12, 315/347?
Answer: LCM of Numerators as per given numbers 105/20, 562/12, 315/347 is
LCM of Numerators i.e. for 105,562,315 is 177030
GCF of denominators i.e. for 20,12,347 is 1.
Thus, LCM of Fractions is 177030.Finally, LCM of Fractions for 105/20, 562/12, 315/347 is 177030.