Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/38, 90/18, 23/41, 302/49 quickly i.e. 22192470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/38, 90/18, 23/41, 302/49 is 22192470.
LCM(71/38, 90/18, 23/41, 302/49) = 22192470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/38,90/18,23/41,302/49
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 71,90,23,302
Least Common Multiple of Numerators i.e. LCM of 71,90,23,302 is 22192470.
GCF of Denominators means GCF of 38,18,41,49 as per the given fractions.
GCF of 38,18,41,49 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,90,23,302
2 | 71, 90, 23, 302 |
71, 45, 23, 151 |
∴ So the LCM of the given numbers is 2 x 71 x 45 x 23 x 151 = 22192470
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 71,90,23,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,90,23,302) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,90,23,302) x common factors =1 x 2 = 2
LCM(71,90,23,302) = ( 71 × 90 × 23 × 302 ) / 2
LCM(71,90,23,302) = 44384940 / 2
LCM(71,90,23,302) = 22192470
Lets's calculate GCF of 38,18,41,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22192470/1
Therefore the LCM of Fractions 71/38,90/18,23/41,302/49 is 22192470
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors 38,18,41,49 . The biggest common factor number is the GCF number.
So the greatest common factor 38,18,41,49 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 71/38, 90/18, 23/41, 302/49?
Answer: LCM of Numerators as per given numbers 71/38, 90/18, 23/41, 302/49 is
LCM of Numerators i.e. for 71,90,23,302 is 22192470
GCF of denominators i.e. for 38,18,41,49 is 1.
Thus, LCM of Fractions is 22192470.Finally, LCM of Fractions for 71/38, 90/18, 23/41, 302/49 is 22192470.