LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 192, 405, 324, 838

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 192, 405, 324, 838 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 192, 405, 324, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,405,324,838

Given numbers are 192,405,324,838

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 192,405,324,838 is 10860480.

Find LCM of 192,405,324,838 with Prime Factorization


2 192, 405, 324, 838
2 96, 405, 162, 419
3 48, 405, 81, 419
3 16, 135, 27, 419
3 16, 45, 9, 419
3 16, 15, 3, 419
16, 5, 1, 419

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 3 x 3 x 16 x 5 x 1 x 419 = 10860480

Therefore, the lowest common multiple of 192,405,324,838 is 10860480.

LCM Formula to Find Lowest Common Multiple of 192,405,324,838

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

192 x 405 x 324 x 838 = 21112773120

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,405,324,838, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

405:3x 3x 3x 3x 5

324:2x 2x 3x 3x 3x 3

838:2x 419

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 21112773120/(1x1944)

LCM = 21112773120/1944

LCM = 10860480

Thus, we can understand that the LCM of 192,405,324,838 is 10860480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 405, 324, 838

1. What is the LCM of 192, 405, 324, 838?

Answer: LCM of 192, 405, 324, 838 is 10860480.

2. How to calculate the LCM of 192, 405, 324, 838?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 192, 405, 324, 838.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.