Given numbers are 316,382,290,926,646

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

The LCM of 316,382,290,926,646 is 1308796019380.

Find LCM of 316,382,290,926,646 with Prime Factorization

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

2 x 158 x 191 x 145 x 463 x 323 = 1308796019380

Therefore, the lowest common multiple of 316,382,290,926,646 is 1308796019380.

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.

316 x 382 x 290 x 926 x 646 = 20940736310080

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.

316 : 1, 2, 4, 79, 158, 316

382 : 1, 2, 191, 382

290 : 1, 2, 5, 10, 29, 58, 145, 290

926 : 1, 2, 463, 926

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,382,290,926,646, is 2.

Now, the common factors can be found like this.

316:2x 2x 79

382:2x 191

290:2x 5x 29

926:2x 463

646:2x 17x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 20940736310080/(2x8)

LCM = 20940736310080/16

LCM = 1308796019380

Thus, we can understand that the LCM of 316,382,290,926,646 is 1308796019380.

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

• LCM of 950, 962, 724, 350, 571
• LCM of 637, 200, 910, 228, 278
• LCM of 811, 108, 985, 654, 408
• LCM of 393, 123, 413, 664, 692
• LCM of 402, 625, 875, 505, 822

1. What is the LCM of 316, 382, 290, 926, 646?

Answer: LCM of 316, 382, 290, 926, 646 is 1308796019380.

2. How to calculate the LCM of 316, 382, 290, 926, 646?

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 316, 382, 290, 926, 646.

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}.