Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/704, 836/170, 997/320 quickly i.e. 272968630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/704, 836/170, 997/320 is 272968630.
LCM(655/704, 836/170, 997/320) = 272968630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/704,836/170,997/320
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 655,836,997
Least Common Multiple of Numerators i.e. LCM of 655,836,997 is 545937260.
GCF of Denominators means GCF of 704,170,320 as per the given fractions.
GCF of 704,170,320 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,836,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 545937260
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 655,836,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,836,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,836,997) x common factors =1 x 1 = 1
LCM(655,836,997) = ( 655 × 836 × 997 ) / 1
LCM(655,836,997) = 545937260 / 1
LCM(655,836,997) = 545937260
Lets's calculate GCF of 704,170,320
2 | 704, 170, 320 |
352, 85, 160 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545937260/2
Therefore the LCM of Fractions 655/704,836/170,997/320 is 272968630
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 704,170,320 . The biggest common factor number is the GCF number.
So the greatest common factor 704,170,320 is 2.
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 655/704, 836/170, 997/320?
Answer: LCM of Numerators as per given numbers 655/704, 836/170, 997/320 is
LCM of Numerators i.e. for 655,836,997 is 545937260
GCF of denominators i.e. for 704,170,320 is 2.
Thus, LCM of Fractions is 272968630.Finally, LCM of Fractions for 655/704, 836/170, 997/320 is 272968630.