Given numbers are 201,372,486,896,210

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

The LCM of 201,372,486,896,210 is 2261105280.

Find LCM of 201,372,486,896,210 with Prime Factorization

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

2 x 2 x 3 x 7 x 67 x 31 x 81 x 32 x 5 = 2261105280

Therefore, the lowest common multiple of 201,372,486,896,210 is 2261105280.

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.

201 x 372 x 486 x 896 x 210 = 6837582366720

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.

201 : 1, 3, 67, 201

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,372,486,896,210, is 1.

Now, the common factors can be found like this.

201:3x 67

372:2x 2x 3x 31

486:2x 3x 3x 3x 3x 3

896:2x 2x 2x 2x 2x 2x 2x 7

210:2x 3x 5x 7

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 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 6837582366720/(1x3024)

LCM = 6837582366720/3024

LCM = 2261105280

Thus, we can understand that the LCM of 201,372,486,896,210 is 2261105280.

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

• LCM of 564, 182, 955, 634, 621
• LCM of 209, 705, 547, 727, 411
• LCM of 162, 566, 127, 123, 108
• LCM of 248, 404, 556, 766, 477
• LCM of 476, 699, 326, 393, 570

1. What is the LCM of 201, 372, 486, 896, 210?

Answer: LCM of 201, 372, 486, 896, 210 is 2261105280.

2. How to calculate the LCM of 201, 372, 486, 896, 210?

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 201, 372, 486, 896, 210.

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}.