Given numbers are 928,621,143,250,828

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

The LCM of 928,621,143,250,828 is 10301148000.

Find LCM of 928,621,143,250,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 232 x 1 x 143 x 125 x 3 = 10301148000

Therefore, the lowest common multiple of 928,621,143,250,828 is 10301148000.

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.

928 x 621 x 143 x 250 x 828 = 17058701088000

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

621 : 1, 3, 9, 23, 27, 69, 207, 621

143 : 1, 11, 13, 143

250 : 1, 2, 5, 10, 25, 50, 125, 250

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,621,143,250,828, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

621:3x 3x 3x 23

143:11x 13

250:2x 5x 5x 5

828:2x 2x 3x 3x 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 2x 2x 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 17058701088000/(1x1656)

LCM = 17058701088000/1656

LCM = 10301148000

Thus, we can understand that the LCM of 928,621,143,250,828 is 10301148000.

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

• LCM of 803, 571, 270, 179, 631
• LCM of 807, 662, 368, 297, 229
• LCM of 550, 601, 738, 746, 789
• LCM of 634, 846, 839, 518, 862
• LCM of 730, 900, 900, 394, 126

1. What is the LCM of 928, 621, 143, 250, 828?

Answer: LCM of 928, 621, 143, 250, 828 is 10301148000.

2. How to calculate the LCM of 928, 621, 143, 250, 828?

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 928, 621, 143, 250, 828.

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}.