Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/26, 770/4652 quickly i.e. 253715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/26, 770/4652 is 253715.
LCM(659/26, 770/4652) = 253715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/26,770/4652
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 659,770
Least Common Multiple of Numerators i.e. LCM of 659,770 is 507430.
GCF of Denominators means GCF of 26,4652 as per the given fractions.
GCF of 26,4652 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,770
Given numbers has no common factors except 1. So, there LCM is their product i.e 507430
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 659,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,770) x common factors =1 x 1 = 1
LCM(659,770) = ( 659 × 770 ) / 1
LCM(659,770) = 507430 / 1
LCM(659,770) = 507430
Lets's calculate GCF of 26,4652
2 | 26, 4652 |
13, 2326 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507430/2
Therefore the LCM of Fractions 659/26,770/4652 is 253715
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 4652
List of positive integer factors of 4652 that divides 4652 without a remainder.
1,2,4,1163,2326,4652
Greatest Common Factor
We found the factors 26,4652 . The biggest common factor number is the GCF number.
So the greatest common factor 26,4652 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 659/26, 770/4652?
Answer: LCM of Numerators as per given numbers 659/26, 770/4652 is
LCM of Numerators i.e. for 659,770 is 507430
GCF of denominators i.e. for 26,4652 is 2.
Thus, LCM of Fractions is 253715.Finally, LCM of Fractions for 659/26, 770/4652 is 253715.