Given numbers are 440,253,616,432

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

The LCM of 440,253,616,432 is 3825360.

Find LCM of 440,253,616,432 with Prime Factorization

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

2 x 2 x 2 x 11 x 5 x 23 x 7 x 54 = 3825360

Therefore, the lowest common multiple of 440,253,616,432 is 3825360.

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.

440 x 253 x 616 x 432 = 29623587840

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

253 : 1, 11, 23, 253

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,253,616,432, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

253:11x 23

616:2x 2x 2x 7x 11

432:2x 2x 2x 2x 3x 3x 3

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 2x 2x 11x 11 = 7744

Therefore, the value for common factors is 7744.

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 = 29623587840/(1x7744)

LCM = 29623587840/7744

LCM = 3825360

Thus, we can understand that the LCM of 440,253,616,432 is 3825360.

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

• LCM of 388, 562, 570, 785
• LCM of 192, 950, 647, 333
• LCM of 675, 820, 378, 332
• LCM of 815, 319, 897, 403
• LCM of 311, 599, 854, 255

1. What is the LCM of 440, 253, 616, 432?

Answer: LCM of 440, 253, 616, 432 is 3825360.

2. How to calculate the LCM of 440, 253, 616, 432?

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 440, 253, 616, 432.

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}.