Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 430/54, 334/1714 quickly i.e. 35905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 430/54, 334/1714 is 35905.
LCM(430/54, 334/1714) = 35905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 430/54,334/1714
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 430,334
Least Common Multiple of Numerators i.e. LCM of 430,334 is 71810.
GCF of Denominators means GCF of 54,1714 as per the given fractions.
GCF of 54,1714 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 430,334
2 | 430, 334 |
215, 167 |
∴ So the LCM of the given numbers is 2 x 215 x 167 = 71810
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 430,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,334) x common factors =2 x 1 = 2
LCM(430,334) = ( 430 × 334 ) / 2
LCM(430,334) = 143620 / 2
LCM(430,334) = 71810
Lets's calculate GCF of 54,1714
2 | 54, 1714 |
27, 857 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71810/2
Therefore the LCM of Fractions 430/54,334/1714 is 35905
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 1714
List of positive integer factors of 1714 that divides 1714 without a remainder.
1,2,857,1714
Greatest Common Factor
We found the factors 54,1714 . The biggest common factor number is the GCF number.
So the greatest common factor 54,1714 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 430/54, 334/1714?
Answer: LCM of Numerators as per given numbers 430/54, 334/1714 is
LCM of Numerators i.e. for 430,334 is 71810
GCF of denominators i.e. for 54,1714 is 2.
Thus, LCM of Fractions is 35905.Finally, LCM of Fractions for 430/54, 334/1714 is 35905.