Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/817, 1618/9769 quickly i.e. 1092150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/817, 1618/9769 is 1092150.
LCM(675/817, 1618/9769) = 1092150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/817,1618/9769
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 675,1618
Least Common Multiple of Numerators i.e. LCM of 675,1618 is 1092150.
GCF of Denominators means GCF of 817,9769 as per the given fractions.
GCF of 817,9769 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,1618
Given numbers has no common factors except 1. So, there LCM is their product i.e 1092150
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 675,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,1618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,1618) x common factors =1 x 1 = 1
LCM(675,1618) = ( 675 × 1618 ) / 1
LCM(675,1618) = 1092150 / 1
LCM(675,1618) = 1092150
Lets's calculate GCF of 817,9769
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1092150/1
Therefore the LCM of Fractions 675/817,1618/9769 is 1092150
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 9769
List of positive integer factors of 9769 that divides 9769 without a remainder.
1,9769
Greatest Common Factor
We found the factors 817,9769 . The biggest common factor number is the GCF number.
So the greatest common factor 817,9769 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 675/817, 1618/9769?
Answer: LCM of Numerators as per given numbers 675/817, 1618/9769 is
LCM of Numerators i.e. for 675,1618 is 1092150
GCF of denominators i.e. for 817,9769 is 1.
Thus, LCM of Fractions is 1092150.Finally, LCM of Fractions for 675/817, 1618/9769 is 1092150.