Given numbers are 642,311,350,506,206

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

The LCM of 642,311,350,506,206 is 910523610150.

Find LCM of 642,311,350,506,206 with Prime Factorization

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

2 x 321 x 311 x 175 x 253 x 103 = 910523610150

Therefore, the lowest common multiple of 642,311,350,506,206 is 910523610150.

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.

642 x 311 x 350 x 506 x 206 = 7284188881200

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

311 : 1, 311

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,311,350,506,206, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

311:311

350:2x 5x 5x 7

506:2x 11x 23

206:2x 103

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 = 7284188881200/(1x8)

LCM = 7284188881200/8

LCM = 910523610150

Thus, we can understand that the LCM of 642,311,350,506,206 is 910523610150.

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

• LCM of 549, 344, 592, 741, 569
• LCM of 511, 155, 380, 229, 735
• LCM of 405, 639, 137, 751, 103
• LCM of 794, 720, 743, 515, 122
• LCM of 889, 209, 800, 157, 399

1. What is the LCM of 642, 311, 350, 506, 206?

Answer: LCM of 642, 311, 350, 506, 206 is 910523610150.

2. How to calculate the LCM of 642, 311, 350, 506, 206?

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 642, 311, 350, 506, 206.

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}.