Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 842/432, 1697/3378 quickly i.e. 1428874/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 842/432, 1697/3378 is 1428874/6.
LCM(842/432, 1697/3378) = 1428874/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 842/432,1697/3378
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 842,1697
Least Common Multiple of Numerators i.e. LCM of 842,1697 is 1428874.
GCF of Denominators means GCF of 432,3378 as per the given fractions.
GCF of 432,3378 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 842,1697
Given numbers has no common factors except 1. So, there LCM is their product i.e 1428874
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 842,1697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1697) x common factors =1 x 1 = 1
LCM(842,1697) = ( 842 × 1697 ) / 1
LCM(842,1697) = 1428874 / 1
LCM(842,1697) = 1428874
Lets's calculate GCF of 432,3378
2 | 432, 3378 |
3 | 216, 1689 |
72, 563 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428874/6
Therefore the LCM of Fractions 842/432,1697/3378 is 1428874/6
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 3378
List of positive integer factors of 3378 that divides 3378 without a remainder.
1,2,3,6,563,1126,1689,3378
Greatest Common Factor
We found the factors 432,3378 . The biggest common factor number is the GCF number.
So the greatest common factor 432,3378 is 6.
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 842/432, 1697/3378?
Answer: LCM of Numerators as per given numbers 842/432, 1697/3378 is
LCM of Numerators i.e. for 842,1697 is 1428874
GCF of denominators i.e. for 432,3378 is 6.
Thus, LCM of Fractions is 1428874/6.Finally, LCM of Fractions for 842/432, 1697/3378 is 1428874/6.