Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/38, 179/31, 874/384 quickly i.e. 1095122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/38, 179/31, 874/384 is 1095122.
LCM(14/38, 179/31, 874/384) = 1095122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/38,179/31,874/384
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 14,179,874
Least Common Multiple of Numerators i.e. LCM of 14,179,874 is 1095122.
GCF of Denominators means GCF of 38,31,384 as per the given fractions.
GCF of 38,31,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,179,874
2 | 14, 179, 874 |
7, 179, 437 |
∴ So the LCM of the given numbers is 2 x 7 x 179 x 437 = 1095122
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 14,179,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,179,874) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,179,874) x common factors =1 x 2 = 2
LCM(14,179,874) = ( 14 × 179 × 874 ) / 2
LCM(14,179,874) = 2190244 / 2
LCM(14,179,874) = 1095122
Lets's calculate GCF of 38,31,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1095122/1
Therefore the LCM of Fractions 14/38,179/31,874/384 is 1095122
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 38,31,384 . The biggest common factor number is the GCF number.
So the greatest common factor 38,31,384 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 14/38, 179/31, 874/384?
Answer: LCM of Numerators as per given numbers 14/38, 179/31, 874/384 is
LCM of Numerators i.e. for 14,179,874 is 1095122
GCF of denominators i.e. for 38,31,384 is 1.
Thus, LCM of Fractions is 1095122.Finally, LCM of Fractions for 14/38, 179/31, 874/384 is 1095122.