Given numbers are 794,748,514,128,638

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

The LCM of 794,748,514,128,638 is 70822818176.

Find LCM of 794,748,514,128,638 with Prime Factorization

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

2 x 2 x 11 x 397 x 17 x 257 x 32 x 29 = 70822818176

Therefore, the lowest common multiple of 794,748,514,128,638 is 70822818176.

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.

794 x 748 x 514 x 128 x 638 = 24929631997952

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.

794 : 1, 2, 397, 794

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

514 : 1, 2, 257, 514

128 : 1, 2, 4, 8, 16, 32, 64, 128

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,748,514,128,638, is 2.

Now, the common factors can be found like this.

794:2x 397

748:2x 2x 11x 17

514:2x 257

128:2x 2x 2x 2x 2x 2x 2

638:2x 11x 29

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 11 = 176

Therefore, the value for common factors is 176.

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 = 24929631997952/(2x176)

LCM = 24929631997952/352

LCM = 70822818176

Thus, we can understand that the LCM of 794,748,514,128,638 is 70822818176.

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

• LCM of 383, 182, 995, 506, 215
• LCM of 438, 986, 658, 404, 310
• LCM of 321, 648, 186, 705, 678
• LCM of 437, 597, 133, 522, 180
• LCM of 530, 921, 727, 191, 439

1. What is the LCM of 794, 748, 514, 128, 638?

Answer: LCM of 794, 748, 514, 128, 638 is 70822818176.

2. How to calculate the LCM of 794, 748, 514, 128, 638?

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 794, 748, 514, 128, 638.

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}.