Given numbers are 782,312,796,440,394

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

The LCM of 782,312,796,440,394 is 263034880680.

Find LCM of 782,312,796,440,394 with Prime Factorization

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

2 x 2 x 2 x 391 x 39 x 199 x 55 x 197 = 263034880680

Therefore, the lowest common multiple of 782,312,796,440,394 is 263034880680.

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.

782 x 312 x 796 x 440 x 394 = 33668464727040

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

796 : 1, 2, 4, 199, 398, 796

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,312,796,440,394, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

312:2x 2x 2x 3x 13

796:2x 2x 199

440:2x 2x 2x 5x 11

394:2x 197

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 33668464727040/(2x64)

LCM = 33668464727040/128

LCM = 263034880680

Thus, we can understand that the LCM of 782,312,796,440,394 is 263034880680.

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

• LCM of 889, 321, 908, 606, 246
• LCM of 939, 854, 335, 697, 507
• LCM of 843, 319, 979, 529, 843
• LCM of 238, 397, 635, 463, 355
• LCM of 812, 898, 596, 285, 712

1. What is the LCM of 782, 312, 796, 440, 394?

Answer: LCM of 782, 312, 796, 440, 394 is 263034880680.

2. How to calculate the LCM of 782, 312, 796, 440, 394?

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 782, 312, 796, 440, 394.

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}.