Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 968/717, 8202/1722 quickly i.e. 1323256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 968/717, 8202/1722 is 1323256.
LCM(968/717, 8202/1722) = 1323256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 968/717,8202/1722
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 968,8202
Least Common Multiple of Numerators i.e. LCM of 968,8202 is 3969768.
GCF of Denominators means GCF of 717,1722 as per the given fractions.
GCF of 717,1722 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 968,8202
2 | 968, 8202 |
484, 4101 |
∴ So the LCM of the given numbers is 2 x 484 x 4101 = 3969768
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 968,8202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,8202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,8202) x common factors =2 x 1 = 2
LCM(968,8202) = ( 968 × 8202 ) / 2
LCM(968,8202) = 7939536 / 2
LCM(968,8202) = 3969768
Lets's calculate GCF of 717,1722
3 | 717, 1722 |
239, 574 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3969768/3
Therefore the LCM of Fractions 968/717,8202/1722 is 1323256
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 1722
List of positive integer factors of 1722 that divides 1722 without a remainder.
1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 717,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 717,1722 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 968/717, 8202/1722?
Answer: LCM of Numerators as per given numbers 968/717, 8202/1722 is
LCM of Numerators i.e. for 968,8202 is 3969768
GCF of denominators i.e. for 717,1722 is 3.
Thus, LCM of Fractions is 1323256.Finally, LCM of Fractions for 968/717, 8202/1722 is 1323256.