Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 392/28, 808/8378 quickly i.e. 19796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 392/28, 808/8378 is 19796.
LCM(392/28, 808/8378) = 19796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 392/28,808/8378
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 392,808
Least Common Multiple of Numerators i.e. LCM of 392,808 is 39592.
GCF of Denominators means GCF of 28,8378 as per the given fractions.
GCF of 28,8378 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 392,808
2 | 392, 808 |
2 | 196, 404 |
2 | 98, 202 |
49, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 101 = 39592
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 392,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,808) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(392,808) x common factors =8 x 1 = 8
LCM(392,808) = ( 392 × 808 ) / 8
LCM(392,808) = 316736 / 8
LCM(392,808) = 39592
Lets's calculate GCF of 28,8378
2 | 28, 8378 |
14, 4189 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39592/2
Therefore the LCM of Fractions 392/28,808/8378 is 19796
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 8378
List of positive integer factors of 8378 that divides 8378 without a remainder.
1,2,59,71,118,142,4189,8378
Greatest Common Factor
We found the factors 28,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 28,8378 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 392/28, 808/8378?
Answer: LCM of Numerators as per given numbers 392/28, 808/8378 is
LCM of Numerators i.e. for 392,808 is 39592
GCF of denominators i.e. for 28,8378 is 2.
Thus, LCM of Fractions is 19796.Finally, LCM of Fractions for 392/28, 808/8378 is 19796.