Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/655, 517/385, 239/341 quickly i.e. 4818957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/655, 517/385, 239/341 is 4818957.
LCM(39/655, 517/385, 239/341) = 4818957
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/655,517/385,239/341
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 39,517,239
Least Common Multiple of Numerators i.e. LCM of 39,517,239 is 4818957.
GCF of Denominators means GCF of 655,385,341 as per the given fractions.
GCF of 655,385,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,517,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 4818957
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 39,517,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,517,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,517,239) x common factors =1 x 1 = 1
LCM(39,517,239) = ( 39 × 517 × 239 ) / 1
LCM(39,517,239) = 4818957 / 1
LCM(39,517,239) = 4818957
Lets's calculate GCF of 655,385,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4818957/1
Therefore the LCM of Fractions 39/655,517/385,239/341 is 4818957
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 655,385,341 . The biggest common factor number is the GCF number.
So the greatest common factor 655,385,341 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 39/655, 517/385, 239/341?
Answer: LCM of Numerators as per given numbers 39/655, 517/385, 239/341 is
LCM of Numerators i.e. for 39,517,239 is 4818957
GCF of denominators i.e. for 655,385,341 is 1.
Thus, LCM of Fractions is 4818957.Finally, LCM of Fractions for 39/655, 517/385, 239/341 is 4818957.