Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7302/381, 1688/3824 quickly i.e. 6162888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7302/381, 1688/3824 is 6162888.
LCM(7302/381, 1688/3824) = 6162888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7302/381,1688/3824
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 7302,1688
Least Common Multiple of Numerators i.e. LCM of 7302,1688 is 6162888.
GCF of Denominators means GCF of 381,3824 as per the given fractions.
GCF of 381,3824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7302,1688
2 | 7302, 1688 |
3651, 844 |
∴ So the LCM of the given numbers is 2 x 3651 x 844 = 6162888
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 7302,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7302,1688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7302,1688) x common factors =2 x 1 = 2
LCM(7302,1688) = ( 7302 × 1688 ) / 2
LCM(7302,1688) = 12325776 / 2
LCM(7302,1688) = 6162888
Lets's calculate GCF of 381,3824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6162888/1
Therefore the LCM of Fractions 7302/381,1688/3824 is 6162888
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 3824
List of positive integer factors of 3824 that divides 3824 without a remainder.
1,2,4,8,16,239,478,956,1912,3824
Greatest Common Factor
We found the factors 381,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 381,3824 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 7302/381, 1688/3824?
Answer: LCM of Numerators as per given numbers 7302/381, 1688/3824 is
LCM of Numerators i.e. for 7302,1688 is 6162888
GCF of denominators i.e. for 381,3824 is 1.
Thus, LCM of Fractions is 6162888.Finally, LCM of Fractions for 7302/381, 1688/3824 is 6162888.