Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 429/394, 5278/213 quickly i.e. 174174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 429/394, 5278/213 is 174174.
LCM(429/394, 5278/213) = 174174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 429/394,5278/213
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 429,5278
Least Common Multiple of Numerators i.e. LCM of 429,5278 is 174174.
GCF of Denominators means GCF of 394,213 as per the given fractions.
GCF of 394,213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 429,5278
13 | 429, 5278 |
33, 406 |
∴ So the LCM of the given numbers is 13 x 33 x 406 = 174174
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 429,5278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,5278) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(429,5278) x common factors =13 x 1 = 13
LCM(429,5278) = ( 429 × 5278 ) / 13
LCM(429,5278) = 2264262 / 13
LCM(429,5278) = 174174
Lets's calculate GCF of 394,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174174/1
Therefore the LCM of Fractions 429/394,5278/213 is 174174
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 394,213 . The biggest common factor number is the GCF number.
So the greatest common factor 394,213 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 429/394, 5278/213?
Answer: LCM of Numerators as per given numbers 429/394, 5278/213 is
LCM of Numerators i.e. for 429,5278 is 174174
GCF of denominators i.e. for 394,213 is 1.
Thus, LCM of Fractions is 174174.Finally, LCM of Fractions for 429/394, 5278/213 is 174174.