Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/47, 76/17, 17/37, 20/622 quickly i.e. 83980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/47, 76/17, 17/37, 20/622 is 83980.
LCM(13/47, 76/17, 17/37, 20/622) = 83980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/47,76/17,17/37,20/622
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 13,76,17,20
Least Common Multiple of Numerators i.e. LCM of 13,76,17,20 is 83980.
GCF of Denominators means GCF of 47,17,37,622 as per the given fractions.
GCF of 47,17,37,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,76,17,20
2 | 13, 76, 17, 20 |
2 | 13, 38, 17, 10 |
13, 19, 17, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 17 x 5 = 83980
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 13,76,17,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,76,17,20) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(13,76,17,20) x common factors =1 x 4 = 4
LCM(13,76,17,20) = ( 13 × 76 × 17 × 20 ) / 4
LCM(13,76,17,20) = 335920 / 4
LCM(13,76,17,20) = 83980
Lets's calculate GCF of 47,17,37,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83980/1
Therefore the LCM of Fractions 13/47,76/17,17/37,20/622 is 83980
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 47,17,37,622 . The biggest common factor number is the GCF number.
So the greatest common factor 47,17,37,622 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 13/47, 76/17, 17/37, 20/622?
Answer: LCM of Numerators as per given numbers 13/47, 76/17, 17/37, 20/622 is
LCM of Numerators i.e. for 13,76,17,20 is 83980
GCF of denominators i.e. for 47,17,37,622 is 1.
Thus, LCM of Fractions is 83980.Finally, LCM of Fractions for 13/47, 76/17, 17/37, 20/622 is 83980.