Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1681/645, 9739/951 quickly i.e. 16371259/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1681/645, 9739/951 is 16371259/3.
LCM(1681/645, 9739/951) = 16371259/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1681/645,9739/951
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 1681,9739
Least Common Multiple of Numerators i.e. LCM of 1681,9739 is 16371259.
GCF of Denominators means GCF of 645,951 as per the given fractions.
GCF of 645,951 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1681,9739
Given numbers has no common factors except 1. So, there LCM is their product i.e 16371259
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 1681,9739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1681,9739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1681,9739) x common factors =1 x 1 = 1
LCM(1681,9739) = ( 1681 × 9739 ) / 1
LCM(1681,9739) = 16371259 / 1
LCM(1681,9739) = 16371259
Lets's calculate GCF of 645,951
3 | 645, 951 |
215, 317 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16371259/3
Therefore the LCM of Fractions 1681/645,9739/951 is 16371259/3
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 645,951 . The biggest common factor number is the GCF number.
So the greatest common factor 645,951 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 1681/645, 9739/951?
Answer: LCM of Numerators as per given numbers 1681/645, 9739/951 is
LCM of Numerators i.e. for 1681,9739 is 16371259
GCF of denominators i.e. for 645,951 is 3.
Thus, LCM of Fractions is 16371259/3.Finally, LCM of Fractions for 1681/645, 9739/951 is 16371259/3.