Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/438, 51/393, 265/373 quickly i.e. 391935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/438, 51/393, 265/373 is 391935.
LCM(29/438, 51/393, 265/373) = 391935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/438,51/393,265/373
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 29,51,265
Least Common Multiple of Numerators i.e. LCM of 29,51,265 is 391935.
GCF of Denominators means GCF of 438,393,373 as per the given fractions.
GCF of 438,393,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,51,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 391935
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 29,51,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,51,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,51,265) x common factors =1 x 1 = 1
LCM(29,51,265) = ( 29 × 51 × 265 ) / 1
LCM(29,51,265) = 391935 / 1
LCM(29,51,265) = 391935
Lets's calculate GCF of 438,393,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391935/1
Therefore the LCM of Fractions 29/438,51/393,265/373 is 391935
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 438,393,373 . The biggest common factor number is the GCF number.
So the greatest common factor 438,393,373 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 29/438, 51/393, 265/373?
Answer: LCM of Numerators as per given numbers 29/438, 51/393, 265/373 is
LCM of Numerators i.e. for 29,51,265 is 391935
GCF of denominators i.e. for 438,393,373 is 1.
Thus, LCM of Fractions is 391935.Finally, LCM of Fractions for 29/438, 51/393, 265/373 is 391935.