Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/39, 77/20, 90/63, 20/90 quickly i.e. 401940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/39, 77/20, 90/63, 20/90 is 401940.
LCM(58/39, 77/20, 90/63, 20/90) = 401940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/39,77/20,90/63,20/90
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 58,77,90,20
Least Common Multiple of Numerators i.e. LCM of 58,77,90,20 is 401940.
GCF of Denominators means GCF of 39,20,63,90 as per the given fractions.
GCF of 39,20,63,90 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,77,90,20
2 | 58, 77, 90, 20 |
5 | 29, 77, 45, 10 |
29, 77, 9, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 77 x 9 x 2 = 401940
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 58,77,90,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,77,90,20) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(58,77,90,20) x common factors =1 x 20 = 20
LCM(58,77,90,20) = ( 58 × 77 × 90 × 20 ) / 20
LCM(58,77,90,20) = 8038800 / 20
LCM(58,77,90,20) = 401940
Lets's calculate GCF of 39,20,63,90
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401940/1
Therefore the LCM of Fractions 58/39,77/20,90/63,20/90 is 401940
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 39,20,63,90 . The biggest common factor number is the GCF number.
So the greatest common factor 39,20,63,90 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 58/39, 77/20, 90/63, 20/90?
Answer: LCM of Numerators as per given numbers 58/39, 77/20, 90/63, 20/90 is
LCM of Numerators i.e. for 58,77,90,20 is 401940
GCF of denominators i.e. for 39,20,63,90 is 1.
Thus, LCM of Fractions is 401940.Finally, LCM of Fractions for 58/39, 77/20, 90/63, 20/90 is 401940.