Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/109, 40/521, 301/335 quickly i.e. 12040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/109, 40/521, 301/335 is 12040.
LCM(14/109, 40/521, 301/335) = 12040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/109,40/521,301/335
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 14,40,301
Least Common Multiple of Numerators i.e. LCM of 14,40,301 is 12040.
GCF of Denominators means GCF of 109,521,335 as per the given fractions.
GCF of 109,521,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,40,301
2 | 14, 40, 301 |
7 | 7, 20, 301 |
1, 20, 43 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 20 x 43 = 12040
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 14,40,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,40,301) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(14,40,301) x common factors =1 x 14 = 14
LCM(14,40,301) = ( 14 × 40 × 301 ) / 14
LCM(14,40,301) = 168560 / 14
LCM(14,40,301) = 12040
Lets's calculate GCF of 109,521,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12040/1
Therefore the LCM of Fractions 14/109,40/521,301/335 is 12040
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 109,521,335 . The biggest common factor number is the GCF number.
So the greatest common factor 109,521,335 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 14/109, 40/521, 301/335?
Answer: LCM of Numerators as per given numbers 14/109, 40/521, 301/335 is
LCM of Numerators i.e. for 14,40,301 is 12040
GCF of denominators i.e. for 109,521,335 is 1.
Thus, LCM of Fractions is 12040.Finally, LCM of Fractions for 14/109, 40/521, 301/335 is 12040.