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LCM of 361, 436, 493, 494

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


Find the LCM of 361, 436, 493, 494 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 361, 436, 493, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,436,493,494

Given numbers are 361,436,493,494

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

The LCM of 361,436,493,494 is 1008750964.

Find LCM of 361,436,493,494 with Prime Factorization


2 361, 436, 493, 494
19 361, 218, 493, 247
19, 218, 493, 13

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

2 x 19 x 19 x 218 x 493 x 13 = 1008750964

Therefore, the lowest common multiple of 361,436,493,494 is 1008750964.

LCM Formula to Find Lowest Common Multiple of 361,436,493,494

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.

361 x 436 x 493 x 494 = 38332536632

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.

361 : 1, 19, 361

436 : 1, 2, 4, 109, 218, 436

493 : 1, 17, 29, 493

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,436,493,494, is 1.

Now, the common factors can be found like this.

361:19x 19

436:2x 2x 109

493:17x 29

494:2x 13x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 38332536632/(1x38)

LCM = 38332536632/38

LCM = 1008750964

Thus, we can understand that the LCM of 361,436,493,494 is 1008750964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 436, 493, 494

1. What is the LCM of 361, 436, 493, 494?

Answer: LCM of 361, 436, 493, 494 is 1008750964.

2. How to calculate the LCM of 361, 436, 493, 494?

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 361, 436, 493, 494.

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}.