Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/15, 824/6726 quickly i.e. 165624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/15, 824/6726 is 165624.
LCM(603/15, 824/6726) = 165624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/15,824/6726
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 603,824
Least Common Multiple of Numerators i.e. LCM of 603,824 is 496872.
GCF of Denominators means GCF of 15,6726 as per the given fractions.
GCF of 15,6726 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 496872
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 603,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,824) x common factors =1 x 1 = 1
LCM(603,824) = ( 603 × 824 ) / 1
LCM(603,824) = 496872 / 1
LCM(603,824) = 496872
Lets's calculate GCF of 15,6726
3 | 15, 6726 |
5, 2242 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496872/3
Therefore the LCM of Fractions 603/15,824/6726 is 165624
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 6726
List of positive integer factors of 6726 that divides 6726 without a remainder.
1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Greatest Common Factor
We found the factors 15,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 15,6726 is 3.
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 603/15, 824/6726?
Answer: LCM of Numerators as per given numbers 603/15, 824/6726 is
LCM of Numerators i.e. for 603,824 is 496872
GCF of denominators i.e. for 15,6726 is 3.
Thus, LCM of Fractions is 165624.Finally, LCM of Fractions for 603/15, 824/6726 is 165624.