Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/993, 90/706, 20/658 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/993, 90/706, 20/658 is 360.
LCM(8/993, 90/706, 20/658) = 360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/993,90/706,20/658
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 8,90,20
Least Common Multiple of Numerators i.e. LCM of 8,90,20 is 360.
GCF of Denominators means GCF of 993,706,658 as per the given fractions.
GCF of 993,706,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,90,20
2 | 8, 90, 20 |
2 | 4, 45, 10 |
5 | 2, 45, 5 |
2, 9, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 9 x 1 = 360
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 8,90,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,90,20) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(8,90,20) x common factors =2 x 20 = 40
LCM(8,90,20) = ( 8 × 90 × 20 ) / 40
LCM(8,90,20) = 14400 / 40
LCM(8,90,20) = 360
Lets's calculate GCF of 993,706,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360/1
Therefore the LCM of Fractions 8/993,90/706,20/658 is 360
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 993,706,658 . The biggest common factor number is the GCF number.
So the greatest common factor 993,706,658 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 8/993, 90/706, 20/658?
Answer: LCM of Numerators as per given numbers 8/993, 90/706, 20/658 is
LCM of Numerators i.e. for 8,90,20 is 360
GCF of denominators i.e. for 993,706,658 is 1.
Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 8/993, 90/706, 20/658 is 360.