Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/174, 823/620, 890/579 quickly i.e. 57865130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/174, 823/620, 890/579 is 57865130.
LCM(79/174, 823/620, 890/579) = 57865130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/174,823/620,890/579
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 79,823,890
Least Common Multiple of Numerators i.e. LCM of 79,823,890 is 57865130.
GCF of Denominators means GCF of 174,620,579 as per the given fractions.
GCF of 174,620,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,823,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 57865130
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 79,823,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,823,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,823,890) x common factors =1 x 1 = 1
LCM(79,823,890) = ( 79 × 823 × 890 ) / 1
LCM(79,823,890) = 57865130 / 1
LCM(79,823,890) = 57865130
Lets's calculate GCF of 174,620,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57865130/1
Therefore the LCM of Fractions 79/174,823/620,890/579 is 57865130
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 174,620,579 . The biggest common factor number is the GCF number.
So the greatest common factor 174,620,579 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 79/174, 823/620, 890/579?
Answer: LCM of Numerators as per given numbers 79/174, 823/620, 890/579 is
LCM of Numerators i.e. for 79,823,890 is 57865130
GCF of denominators i.e. for 174,620,579 is 1.
Thus, LCM of Fractions is 57865130.Finally, LCM of Fractions for 79/174, 823/620, 890/579 is 57865130.