Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/22, 9/73, 71/83, 61/847 quickly i.e. 77958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/22, 9/73, 71/83, 61/847 is 77958.
LCM(2/22, 9/73, 71/83, 61/847) = 77958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/22,9/73,71/83,61/847
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 2,9,71,61
Least Common Multiple of Numerators i.e. LCM of 2,9,71,61 is 77958.
GCF of Denominators means GCF of 22,73,83,847 as per the given fractions.
GCF of 22,73,83,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,9,71,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 77958
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 2,9,71,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,9,71,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,9,71,61) x common factors =1 x 1 = 1
LCM(2,9,71,61) = ( 2 × 9 × 71 × 61 ) / 1
LCM(2,9,71,61) = 77958 / 1
LCM(2,9,71,61) = 77958
Lets's calculate GCF of 22,73,83,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77958/1
Therefore the LCM of Fractions 2/22,9/73,71/83,61/847 is 77958
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 22,73,83,847 . The biggest common factor number is the GCF number.
So the greatest common factor 22,73,83,847 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 2/22, 9/73, 71/83, 61/847?
Answer: LCM of Numerators as per given numbers 2/22, 9/73, 71/83, 61/847 is
LCM of Numerators i.e. for 2,9,71,61 is 77958
GCF of denominators i.e. for 22,73,83,847 is 1.
Thus, LCM of Fractions is 77958.Finally, LCM of Fractions for 2/22, 9/73, 71/83, 61/847 is 77958.