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LCM of 798, 493, 323, 335

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


Find the LCM of 798, 493, 323, 335 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 798, 493, 323, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,493,323,335

Given numbers are 798,493,323,335

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

The LCM of 798,493,323,335 is 131793690.

Find LCM of 798,493,323,335 with Prime Factorization


17 798, 493, 323, 335
19 798, 29, 19, 335
42, 29, 1, 335

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

17 x 19 x 42 x 29 x 1 x 335 = 131793690

Therefore, the lowest common multiple of 798,493,323,335 is 131793690.

LCM Formula to Find Lowest Common Multiple of 798,493,323,335

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.

798 x 493 x 323 x 335 = 42569361870

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

493 : 1, 17, 29, 493

323 : 1, 17, 19, 323

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,493,323,335, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

493:17x 29

323:17x 19

335:5x 67

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 42569361870/(1x323)

LCM = 42569361870/323

LCM = 131793690

Thus, we can understand that the LCM of 798,493,323,335 is 131793690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 493, 323, 335

1. What is the LCM of 798, 493, 323, 335?

Answer: LCM of 798, 493, 323, 335 is 131793690.

2. How to calculate the LCM of 798, 493, 323, 335?

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 798, 493, 323, 335.

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}.