Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/38, 112/7858 quickly i.e. 9352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/38, 112/7858 is 9352.
LCM(334/38, 112/7858) = 9352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/38,112/7858
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 334,112
Least Common Multiple of Numerators i.e. LCM of 334,112 is 18704.
GCF of Denominators means GCF of 38,7858 as per the given fractions.
GCF of 38,7858 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,112
2 | 334, 112 |
167, 56 |
∴ So the LCM of the given numbers is 2 x 167 x 56 = 18704
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 334,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,112) x common factors =2 x 1 = 2
LCM(334,112) = ( 334 × 112 ) / 2
LCM(334,112) = 37408 / 2
LCM(334,112) = 18704
Lets's calculate GCF of 38,7858
2 | 38, 7858 |
19, 3929 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18704/2
Therefore the LCM of Fractions 334/38,112/7858 is 9352
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 7858
List of positive integer factors of 7858 that divides 7858 without a remainder.
1,2,3929,7858
Greatest Common Factor
We found the factors 38,7858 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7858 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 334/38, 112/7858?
Answer: LCM of Numerators as per given numbers 334/38, 112/7858 is
LCM of Numerators i.e. for 334,112 is 18704
GCF of denominators i.e. for 38,7858 is 2.
Thus, LCM of Fractions is 9352.Finally, LCM of Fractions for 334/38, 112/7858 is 9352.