Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/382, 270/730, 271/435 quickly i.e. 26853390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/382, 270/730, 271/435 is 26853390.
LCM(367/382, 270/730, 271/435) = 26853390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/382,270/730,271/435
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 367,270,271
Least Common Multiple of Numerators i.e. LCM of 367,270,271 is 26853390.
GCF of Denominators means GCF of 382,730,435 as per the given fractions.
GCF of 382,730,435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,270,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 26853390
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 367,270,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,270,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,270,271) x common factors =1 x 1 = 1
LCM(367,270,271) = ( 367 × 270 × 271 ) / 1
LCM(367,270,271) = 26853390 / 1
LCM(367,270,271) = 26853390
Lets's calculate GCF of 382,730,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26853390/1
Therefore the LCM of Fractions 367/382,270/730,271/435 is 26853390
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 382,730,435 . The biggest common factor number is the GCF number.
So the greatest common factor 382,730,435 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 367/382, 270/730, 271/435?
Answer: LCM of Numerators as per given numbers 367/382, 270/730, 271/435 is
LCM of Numerators i.e. for 367,270,271 is 26853390
GCF of denominators i.e. for 382,730,435 is 1.
Thus, LCM of Fractions is 26853390.Finally, LCM of Fractions for 367/382, 270/730, 271/435 is 26853390.