Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/26, 602/3254 quickly i.e. 181503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/26, 602/3254 is 181503.
LCM(603/26, 602/3254) = 181503
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/26,602/3254
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 603,602
Least Common Multiple of Numerators i.e. LCM of 603,602 is 363006.
GCF of Denominators means GCF of 26,3254 as per the given fractions.
GCF of 26,3254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,602
Given numbers has no common factors except 1. So, there LCM is their product i.e 363006
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 603,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,602) x common factors =1 x 1 = 1
LCM(603,602) = ( 603 × 602 ) / 1
LCM(603,602) = 363006 / 1
LCM(603,602) = 363006
Lets's calculate GCF of 26,3254
2 | 26, 3254 |
13, 1627 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363006/2
Therefore the LCM of Fractions 603/26,602/3254 is 181503
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 3254
List of positive integer factors of 3254 that divides 3254 without a remainder.
1,2,1627,3254
Greatest Common Factor
We found the factors 26,3254 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3254 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 603/26, 602/3254?
Answer: LCM of Numerators as per given numbers 603/26, 602/3254 is
LCM of Numerators i.e. for 603,602 is 363006
GCF of denominators i.e. for 26,3254 is 2.
Thus, LCM of Fractions is 181503.Finally, LCM of Fractions for 603/26, 602/3254 is 181503.