Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/10, 58/14, 222/230 quickly i.e. 32190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/10, 58/14, 222/230 is 32190.
LCM(20/10, 58/14, 222/230) = 32190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/10,58/14,222/230
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 20,58,222
Least Common Multiple of Numerators i.e. LCM of 20,58,222 is 64380.
GCF of Denominators means GCF of 10,14,230 as per the given fractions.
GCF of 10,14,230 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,58,222
2 | 20, 58, 222 |
10, 29, 111 |
∴ So the LCM of the given numbers is 2 x 10 x 29 x 111 = 64380
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 20,58,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,58,222) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(20,58,222) x common factors =2 x 2 = 4
LCM(20,58,222) = ( 20 × 58 × 222 ) / 4
LCM(20,58,222) = 257520 / 4
LCM(20,58,222) = 64380
Lets's calculate GCF of 10,14,230
2 | 10, 14, 230 |
5, 7, 115 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64380/2
Therefore the LCM of Fractions 20/10,58/14,222/230 is 32190
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 10,14,230 . The biggest common factor number is the GCF number.
So the greatest common factor 10,14,230 is 2.
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 20/10, 58/14, 222/230?
Answer: LCM of Numerators as per given numbers 20/10, 58/14, 222/230 is
LCM of Numerators i.e. for 20,58,222 is 64380
GCF of denominators i.e. for 10,14,230 is 2.
Thus, LCM of Fractions is 32190.Finally, LCM of Fractions for 20/10, 58/14, 222/230 is 32190.