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LCM of 494, 768, 842, 390

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


Find the LCM of 494, 768, 842, 390 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 494, 768, 842, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,768,842,390

Given numbers are 494,768,842,390

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

The LCM of 494,768,842,390 is 399310080.

Find LCM of 494,768,842,390 with Prime Factorization


2 494, 768, 842, 390
3 247, 384, 421, 195
13 247, 128, 421, 65
19, 128, 421, 5

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

2 x 3 x 13 x 19 x 128 x 421 x 5 = 399310080

Therefore, the lowest common multiple of 494,768,842,390 is 399310080.

LCM Formula to Find Lowest Common Multiple of 494,768,842,390

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.

494 x 768 x 842 x 390 = 124584744960

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.

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

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

842 : 1, 2, 421, 842

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,768,842,390, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

768:2x 2x 2x 2x 2x 2x 2x 2x 3

842:2x 421

390:2x 3x 5x 13

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 124584744960/(2x156)

LCM = 124584744960/312

LCM = 399310080

Thus, we can understand that the LCM of 494,768,842,390 is 399310080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 768, 842, 390

1. What is the LCM of 494, 768, 842, 390?

Answer: LCM of 494, 768, 842, 390 is 399310080.

2. How to calculate the LCM of 494, 768, 842, 390?

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 494, 768, 842, 390.

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}.