Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/683, 636/263, 271/127 quickly i.e. 15339684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/683, 636/263, 271/127 is 15339684.
LCM(89/683, 636/263, 271/127) = 15339684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/683,636/263,271/127
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 89,636,271
Least Common Multiple of Numerators i.e. LCM of 89,636,271 is 15339684.
GCF of Denominators means GCF of 683,263,127 as per the given fractions.
GCF of 683,263,127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,636,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 15339684
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 89,636,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,636,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,636,271) x common factors =1 x 1 = 1
LCM(89,636,271) = ( 89 × 636 × 271 ) / 1
LCM(89,636,271) = 15339684 / 1
LCM(89,636,271) = 15339684
Lets's calculate GCF of 683,263,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15339684/1
Therefore the LCM of Fractions 89/683,636/263,271/127 is 15339684
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 683,263,127 . The biggest common factor number is the GCF number.
So the greatest common factor 683,263,127 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 89/683, 636/263, 271/127?
Answer: LCM of Numerators as per given numbers 89/683, 636/263, 271/127 is
LCM of Numerators i.e. for 89,636,271 is 15339684
GCF of denominators i.e. for 683,263,127 is 1.
Thus, LCM of Fractions is 15339684.Finally, LCM of Fractions for 89/683, 636/263, 271/127 is 15339684.