Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/39, 901/6953 quickly i.e. 593759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/39, 901/6953 is 593759.
LCM(659/39, 901/6953) = 593759
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/39,901/6953
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 659,901
Least Common Multiple of Numerators i.e. LCM of 659,901 is 593759.
GCF of Denominators means GCF of 39,6953 as per the given fractions.
GCF of 39,6953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 593759
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 659,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,901) x common factors =1 x 1 = 1
LCM(659,901) = ( 659 × 901 ) / 1
LCM(659,901) = 593759 / 1
LCM(659,901) = 593759
Lets's calculate GCF of 39,6953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593759/1
Therefore the LCM of Fractions 659/39,901/6953 is 593759
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 6953
List of positive integer factors of 6953 that divides 6953 without a remainder.
1,17,409,6953
Greatest Common Factor
We found the factors 39,6953 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6953 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 659/39, 901/6953?
Answer: LCM of Numerators as per given numbers 659/39, 901/6953 is
LCM of Numerators i.e. for 659,901 is 593759
GCF of denominators i.e. for 39,6953 is 1.
Thus, LCM of Fractions is 593759.Finally, LCM of Fractions for 659/39, 901/6953 is 593759.