Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/71, 65/55, 47/76, 52/289 quickly i.e. 134420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/71, 65/55, 47/76, 52/289 is 134420.
LCM(22/71, 65/55, 47/76, 52/289) = 134420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/71,65/55,47/76,52/289
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 22,65,47,52
Least Common Multiple of Numerators i.e. LCM of 22,65,47,52 is 134420.
GCF of Denominators means GCF of 71,55,76,289 as per the given fractions.
GCF of 71,55,76,289 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,65,47,52
2 | 22, 65, 47, 52 |
13 | 11, 65, 47, 26 |
11, 5, 47, 2 |
∴ So the LCM of the given numbers is 2 x 13 x 11 x 5 x 47 x 2 = 134420
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 22,65,47,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,65,47,52) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(22,65,47,52) x common factors =1 x 26 = 26
LCM(22,65,47,52) = ( 22 × 65 × 47 × 52 ) / 26
LCM(22,65,47,52) = 3494920 / 26
LCM(22,65,47,52) = 134420
Lets's calculate GCF of 71,55,76,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134420/1
Therefore the LCM of Fractions 22/71,65/55,47/76,52/289 is 134420
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 71,55,76,289 . The biggest common factor number is the GCF number.
So the greatest common factor 71,55,76,289 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 22/71, 65/55, 47/76, 52/289?
Answer: LCM of Numerators as per given numbers 22/71, 65/55, 47/76, 52/289 is
LCM of Numerators i.e. for 22,65,47,52 is 134420
GCF of denominators i.e. for 71,55,76,289 is 1.
Thus, LCM of Fractions is 134420.Finally, LCM of Fractions for 22/71, 65/55, 47/76, 52/289 is 134420.