Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2462/342, 3808/178 quickly i.e. 2343824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2462/342, 3808/178 is 2343824.
LCM(2462/342, 3808/178) = 2343824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2462/342,3808/178
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 2462,3808
Least Common Multiple of Numerators i.e. LCM of 2462,3808 is 4687648.
GCF of Denominators means GCF of 342,178 as per the given fractions.
GCF of 342,178 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2462,3808
2 | 2462, 3808 |
1231, 1904 |
∴ So the LCM of the given numbers is 2 x 1231 x 1904 = 4687648
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 2462,3808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2462,3808) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2462,3808) x common factors =2 x 1 = 2
LCM(2462,3808) = ( 2462 × 3808 ) / 2
LCM(2462,3808) = 9375296 / 2
LCM(2462,3808) = 4687648
Lets's calculate GCF of 342,178
2 | 342, 178 |
171, 89 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4687648/2
Therefore the LCM of Fractions 2462/342,3808/178 is 2343824
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 342,178 . The biggest common factor number is the GCF number.
So the greatest common factor 342,178 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 2462/342, 3808/178?
Answer: LCM of Numerators as per given numbers 2462/342, 3808/178 is
LCM of Numerators i.e. for 2462,3808 is 4687648
GCF of denominators i.e. for 342,178 is 2.
Thus, LCM of Fractions is 2343824.Finally, LCM of Fractions for 2462/342, 3808/178 is 2343824.