Given numbers are 646,312,349,506

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

The LCM of 646,312,349,506 is 8898218472.

Find LCM of 646,312,349,506 with Prime Factorization

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

2 x 323 x 156 x 349 x 253 = 8898218472

Therefore, the lowest common multiple of 646,312,349,506 is 8898218472.

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.

646 x 312 x 349 x 506 = 35592873888

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.

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

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

349 : 1, 349

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,312,349,506, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

312:2x 2x 2x 3x 13

349:349

506:2x 11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35592873888/(1x4)

LCM = 35592873888/4

LCM = 8898218472

Thus, we can understand that the LCM of 646,312,349,506 is 8898218472.

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

• LCM of 830, 941, 981, 358
• LCM of 230, 679, 452, 147
• LCM of 513, 763, 400, 112
• LCM of 494, 156, 931, 612
• LCM of 615, 309, 715, 566

1. What is the LCM of 646, 312, 349, 506?

Answer: LCM of 646, 312, 349, 506 is 8898218472.

2. How to calculate the LCM of 646, 312, 349, 506?

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 646, 312, 349, 506.

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}.