Given numbers are 368,412,507,618,217

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

The LCM of 368,412,507,618,217 is 4170160176.

Find LCM of 368,412,507,618,217 with Prime Factorization

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

2 x 2 x 3 x 103 x 92 x 1 x 169 x 1 x 217 = 4170160176

Therefore, the lowest common multiple of 368,412,507,618,217 is 4170160176.

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.

368 x 412 x 507 x 618 x 217 = 10308635955072

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

412 : 1, 2, 4, 103, 206, 412

507 : 1, 3, 13, 39, 169, 507

618 : 1, 2, 3, 6, 103, 206, 309, 618

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,412,507,618,217, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

412:2x 2x 103

507:3x 13x 13

618:2x 3x 103

217:7x 31

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 3x 103 = 2472

Therefore, the value for common factors is 2472.

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 = 10308635955072/(1x2472)

LCM = 10308635955072/2472

LCM = 4170160176

Thus, we can understand that the LCM of 368,412,507,618,217 is 4170160176.

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

• LCM of 811, 440, 904, 246, 918
• LCM of 289, 685, 411, 731, 366
• LCM of 661, 750, 284, 404, 455
• LCM of 755, 573, 987, 966, 760
• LCM of 217, 257, 718, 934, 630

1. What is the LCM of 368, 412, 507, 618, 217?

Answer: LCM of 368, 412, 507, 618, 217 is 4170160176.

2. How to calculate the LCM of 368, 412, 507, 618, 217?

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 368, 412, 507, 618, 217.

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}.