Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1692/467, 9803/572 quickly i.e. 16586676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1692/467, 9803/572 is 16586676.
LCM(1692/467, 9803/572) = 16586676
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1692/467,9803/572
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 1692,9803
Least Common Multiple of Numerators i.e. LCM of 1692,9803 is 16586676.
GCF of Denominators means GCF of 467,572 as per the given fractions.
GCF of 467,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1692,9803
Given numbers has no common factors except 1. So, there LCM is their product i.e 16586676
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 1692,9803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1692,9803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1692,9803) x common factors =1 x 1 = 1
LCM(1692,9803) = ( 1692 × 9803 ) / 1
LCM(1692,9803) = 16586676 / 1
LCM(1692,9803) = 16586676
Lets's calculate GCF of 467,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16586676/1
Therefore the LCM of Fractions 1692/467,9803/572 is 16586676
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 467,572 . The biggest common factor number is the GCF number.
So the greatest common factor 467,572 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 1692/467, 9803/572?
Answer: LCM of Numerators as per given numbers 1692/467, 9803/572 is
LCM of Numerators i.e. for 1692,9803 is 16586676
GCF of denominators i.e. for 467,572 is 1.
Thus, LCM of Fractions is 16586676.Finally, LCM of Fractions for 1692/467, 9803/572 is 16586676.