Given numbers are 861,678,552,450,813

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

The LCM of 861,678,552,450,813 is 363856361400.

Find LCM of 861,678,552,450,813 with Prime Factorization

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

2 x 3 x 287 x 113 x 92 x 75 x 271 = 363856361400

Therefore, the lowest common multiple of 861,678,552,450,813 is 363856361400.

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.

861 x 678 x 552 x 450 x 813 = 117889461093600

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

678 : 1, 2, 3, 6, 113, 226, 339, 678

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

813 : 1, 3, 271, 813

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,678,552,450,813, is 3.

Now, the common factors can be found like this.

861:3x 7x 41

678:2x 3x 113

552:2x 2x 2x 3x 23

450:2x 3x 3x 5x 5

813:3x 271

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 117889461093600/(3x108)

LCM = 117889461093600/324

LCM = 363856361400

Thus, we can understand that the LCM of 861,678,552,450,813 is 363856361400.

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

• LCM of 968, 324, 894, 222, 388
• LCM of 459, 563, 522, 788, 859
• LCM of 213, 905, 772, 531, 701
• LCM of 372, 197, 989, 922, 492
• LCM of 321, 587, 671, 219, 232

1. What is the LCM of 861, 678, 552, 450, 813?

Answer: LCM of 861, 678, 552, 450, 813 is 363856361400.

2. How to calculate the LCM of 861, 678, 552, 450, 813?

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 861, 678, 552, 450, 813.

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}.