Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/60, 68/58, 180/591 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/60, 68/58, 180/591 is 21420.
LCM(70/60, 68/58, 180/591) = 21420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/60,68/58,180/591
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 70,68,180
Least Common Multiple of Numerators i.e. LCM of 70,68,180 is 21420.
GCF of Denominators means GCF of 60,58,591 as per the given fractions.
GCF of 60,58,591 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,68,180
2 | 70, 68, 180 |
2 | 35, 34, 90 |
5 | 35, 17, 45 |
7, 17, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 17 x 9 = 21420
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 70,68,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,68,180) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(70,68,180) x common factors =2 x 20 = 40
LCM(70,68,180) = ( 70 × 68 × 180 ) / 40
LCM(70,68,180) = 856800 / 40
LCM(70,68,180) = 21420
Lets's calculate GCF of 60,58,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1
Therefore the LCM of Fractions 70/60,68/58,180/591 is 21420
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 60,58,591 . The biggest common factor number is the GCF number.
So the greatest common factor 60,58,591 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 70/60, 68/58, 180/591?
Answer: LCM of Numerators as per given numbers 70/60, 68/58, 180/591 is
LCM of Numerators i.e. for 70,68,180 is 21420
GCF of denominators i.e. for 60,58,591 is 1.
Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 70/60, 68/58, 180/591 is 21420.