Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/22, 20/38, 93/290 quickly i.e. 21390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/22, 20/38, 93/290 is 21390.
LCM(69/22, 20/38, 93/290) = 21390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/22,20/38,93/290
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 69,20,93
Least Common Multiple of Numerators i.e. LCM of 69,20,93 is 42780.
GCF of Denominators means GCF of 22,38,290 as per the given fractions.
GCF of 22,38,290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,20,93
3 | 69, 20, 93 |
23, 20, 31 |
∴ So the LCM of the given numbers is 3 x 23 x 20 x 31 = 42780
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 69,20,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,20,93) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,20,93) x common factors =1 x 3 = 3
LCM(69,20,93) = ( 69 × 20 × 93 ) / 3
LCM(69,20,93) = 128340 / 3
LCM(69,20,93) = 42780
Lets's calculate GCF of 22,38,290
2 | 22, 38, 290 |
11, 19, 145 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42780/2
Therefore the LCM of Fractions 69/22,20/38,93/290 is 21390
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 22,38,290 . The biggest common factor number is the GCF number.
So the greatest common factor 22,38,290 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 69/22, 20/38, 93/290?
Answer: LCM of Numerators as per given numbers 69/22, 20/38, 93/290 is
LCM of Numerators i.e. for 69,20,93 is 42780
GCF of denominators i.e. for 22,38,290 is 2.
Thus, LCM of Fractions is 21390.Finally, LCM of Fractions for 69/22, 20/38, 93/290 is 21390.