Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/628, 558/120, 605/685 quickly i.e. 26669610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/628, 558/120, 605/685 is 26669610.
LCM(79/628, 558/120, 605/685) = 26669610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/628,558/120,605/685
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 79,558,605
Least Common Multiple of Numerators i.e. LCM of 79,558,605 is 26669610.
GCF of Denominators means GCF of 628,120,685 as per the given fractions.
GCF of 628,120,685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,558,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 26669610
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 79,558,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,558,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,558,605) x common factors =1 x 1 = 1
LCM(79,558,605) = ( 79 × 558 × 605 ) / 1
LCM(79,558,605) = 26669610 / 1
LCM(79,558,605) = 26669610
Lets's calculate GCF of 628,120,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26669610/1
Therefore the LCM of Fractions 79/628,558/120,605/685 is 26669610
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 628,120,685 . The biggest common factor number is the GCF number.
So the greatest common factor 628,120,685 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 79/628, 558/120, 605/685?
Answer: LCM of Numerators as per given numbers 79/628, 558/120, 605/685 is
LCM of Numerators i.e. for 79,558,605 is 26669610
GCF of denominators i.e. for 628,120,685 is 1.
Thus, LCM of Fractions is 26669610.Finally, LCM of Fractions for 79/628, 558/120, 605/685 is 26669610.