Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/456, 1962/6191 quickly i.e. 37278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/456, 1962/6191 is 37278.
LCM(38/456, 1962/6191) = 37278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/456,1962/6191
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 38,1962
Least Common Multiple of Numerators i.e. LCM of 38,1962 is 37278.
GCF of Denominators means GCF of 456,6191 as per the given fractions.
GCF of 456,6191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,1962
2 | 38, 1962 |
19, 981 |
∴ So the LCM of the given numbers is 2 x 19 x 981 = 37278
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 38,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,1962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,1962) x common factors =2 x 1 = 2
LCM(38,1962) = ( 38 × 1962 ) / 2
LCM(38,1962) = 74556 / 2
LCM(38,1962) = 37278
Lets's calculate GCF of 456,6191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37278/1
Therefore the LCM of Fractions 38/456,1962/6191 is 37278
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 6191
List of positive integer factors of 6191 that divides 6191 without a remainder.
1,41,151,6191
Greatest Common Factor
We found the factors 456,6191 . The biggest common factor number is the GCF number.
So the greatest common factor 456,6191 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 38/456, 1962/6191?
Answer: LCM of Numerators as per given numbers 38/456, 1962/6191 is
LCM of Numerators i.e. for 38,1962 is 37278
GCF of denominators i.e. for 456,6191 is 1.
Thus, LCM of Fractions is 37278.Finally, LCM of Fractions for 38/456, 1962/6191 is 37278.