Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 713/705, 1499/897 quickly i.e. 1068787/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 713/705, 1499/897 is 1068787/3.
LCM(713/705, 1499/897) = 1068787/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 713/705,1499/897
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 713,1499
Least Common Multiple of Numerators i.e. LCM of 713,1499 is 1068787.
GCF of Denominators means GCF of 705,897 as per the given fractions.
GCF of 705,897 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 713,1499
Given numbers has no common factors except 1. So, there LCM is their product i.e 1068787
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 713,1499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,1499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,1499) x common factors =1 x 1 = 1
LCM(713,1499) = ( 713 × 1499 ) / 1
LCM(713,1499) = 1068787 / 1
LCM(713,1499) = 1068787
Lets's calculate GCF of 705,897
3 | 705, 897 |
235, 299 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1068787/3
Therefore the LCM of Fractions 713/705,1499/897 is 1068787/3
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
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 705,897 . The biggest common factor number is the GCF number.
So the greatest common factor 705,897 is 3.
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 713/705, 1499/897?
Answer: LCM of Numerators as per given numbers 713/705, 1499/897 is
LCM of Numerators i.e. for 713,1499 is 1068787
GCF of denominators i.e. for 705,897 is 3.
Thus, LCM of Fractions is 1068787/3.Finally, LCM of Fractions for 713/705, 1499/897 is 1068787/3.