Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6947/604, 2421/7792 quickly i.e. 16818687/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6947/604, 2421/7792 is 16818687/4.
LCM(6947/604, 2421/7792) = 16818687/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6947/604,2421/7792
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 6947,2421
Least Common Multiple of Numerators i.e. LCM of 6947,2421 is 16818687.
GCF of Denominators means GCF of 604,7792 as per the given fractions.
GCF of 604,7792 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6947,2421
Given numbers has no common factors except 1. So, there LCM is their product i.e 16818687
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 6947,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6947,2421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6947,2421) x common factors =1 x 1 = 1
LCM(6947,2421) = ( 6947 × 2421 ) / 1
LCM(6947,2421) = 16818687 / 1
LCM(6947,2421) = 16818687
Lets's calculate GCF of 604,7792
2 | 604, 7792 |
2 | 302, 3896 |
151, 1948 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16818687/4
Therefore the LCM of Fractions 6947/604,2421/7792 is 16818687/4
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 7792
List of positive integer factors of 7792 that divides 7792 without a remainder.
1,2,4,8,16,487,974,1948,3896,7792
Greatest Common Factor
We found the factors 604,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 604,7792 is 4.
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 6947/604, 2421/7792?
Answer: LCM of Numerators as per given numbers 6947/604, 2421/7792 is
LCM of Numerators i.e. for 6947,2421 is 16818687
GCF of denominators i.e. for 604,7792 is 4.
Thus, LCM of Fractions is 16818687/4.Finally, LCM of Fractions for 6947/604, 2421/7792 is 16818687/4.