Given numbers are 288,284,514,740,838

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

The LCM of 288,284,514,740,838 is 407351867040.

Find LCM of 288,284,514,740,838 with Prime Factorization

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

2 x 2 x 72 x 71 x 257 x 185 x 419 = 407351867040

Therefore, the lowest common multiple of 288,284,514,740,838 is 407351867040.

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.

288 x 284 x 514 x 740 x 838 = 26070519490560

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

284 : 1, 2, 4, 71, 142, 284

514 : 1, 2, 257, 514

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

838 : 1, 2, 419, 838

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,284,514,740,838, is 2.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

284:2x 2x 71

514:2x 257

740:2x 2x 5x 37

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 26070519490560/(2x32)

LCM = 26070519490560/64

LCM = 407351867040

Thus, we can understand that the LCM of 288,284,514,740,838 is 407351867040.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 220, 940, 146, 132, 601
• LCM of 116, 968, 814, 938, 950
• LCM of 208, 828, 433, 264, 663
• LCM of 673, 194, 940, 782, 570
• LCM of 479, 899, 485, 361, 588

1. What is the LCM of 288, 284, 514, 740, 838?

Answer: LCM of 288, 284, 514, 740, 838 is 407351867040.

2. How to calculate the LCM of 288, 284, 514, 740, 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 288, 284, 514, 740, 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}.