Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/52, 399/897 quickly i.e. 281694/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/52, 399/897 is 281694/13.
LCM(706/52, 399/897) = 281694/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/52,399/897
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 706,399
Least Common Multiple of Numerators i.e. LCM of 706,399 is 281694.
GCF of Denominators means GCF of 52,897 as per the given fractions.
GCF of 52,897 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 281694
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 706,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,399) x common factors =1 x 1 = 1
LCM(706,399) = ( 706 × 399 ) / 1
LCM(706,399) = 281694 / 1
LCM(706,399) = 281694
Lets's calculate GCF of 52,897
13 | 52, 897 |
4, 69 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281694/13
Therefore the LCM of Fractions 706/52,399/897 is 281694/13
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 52,897 . The biggest common factor number is the GCF number.
So the greatest common factor 52,897 is 13.
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 706/52, 399/897?
Answer: LCM of Numerators as per given numbers 706/52, 399/897 is
LCM of Numerators i.e. for 706,399 is 281694
GCF of denominators i.e. for 52,897 is 13.
Thus, LCM of Fractions is 281694/13.Finally, LCM of Fractions for 706/52, 399/897 is 281694/13.