Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 599/60, 706/3262 quickly i.e. 211447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 599/60, 706/3262 is 211447.
LCM(599/60, 706/3262) = 211447
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 599/60,706/3262
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 599,706
Least Common Multiple of Numerators i.e. LCM of 599,706 is 422894.
GCF of Denominators means GCF of 60,3262 as per the given fractions.
GCF of 60,3262 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 599,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 422894
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 599,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,706) x common factors =1 x 1 = 1
LCM(599,706) = ( 599 × 706 ) / 1
LCM(599,706) = 422894 / 1
LCM(599,706) = 422894
Lets's calculate GCF of 60,3262
2 | 60, 3262 |
30, 1631 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422894/2
Therefore the LCM of Fractions 599/60,706/3262 is 211447
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 3262
List of positive integer factors of 3262 that divides 3262 without a remainder.
1,2,7,14,233,466,1631,3262
Greatest Common Factor
We found the factors 60,3262 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3262 is 2.
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 599/60, 706/3262?
Answer: LCM of Numerators as per given numbers 599/60, 706/3262 is
LCM of Numerators i.e. for 599,706 is 422894
GCF of denominators i.e. for 60,3262 is 2.
Thus, LCM of Fractions is 211447.Finally, LCM of Fractions for 599/60, 706/3262 is 211447.