Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/682, 9314/599 quickly i.e. 3222644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/682, 9314/599 is 3222644.
LCM(692/682, 9314/599) = 3222644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/682,9314/599
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 692,9314
Least Common Multiple of Numerators i.e. LCM of 692,9314 is 3222644.
GCF of Denominators means GCF of 682,599 as per the given fractions.
GCF of 682,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,9314
2 | 692, 9314 |
346, 4657 |
∴ So the LCM of the given numbers is 2 x 346 x 4657 = 3222644
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 692,9314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,9314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,9314) x common factors =2 x 1 = 2
LCM(692,9314) = ( 692 × 9314 ) / 2
LCM(692,9314) = 6445288 / 2
LCM(692,9314) = 3222644
Lets's calculate GCF of 682,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3222644/1
Therefore the LCM of Fractions 692/682,9314/599 is 3222644
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 682,599 . The biggest common factor number is the GCF number.
So the greatest common factor 682,599 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 692/682, 9314/599?
Answer: LCM of Numerators as per given numbers 692/682, 9314/599 is
LCM of Numerators i.e. for 692,9314 is 3222644
GCF of denominators i.e. for 682,599 is 1.
Thus, LCM of Fractions is 3222644.Finally, LCM of Fractions for 692/682, 9314/599 is 3222644.