Given numbers are 324,896,286,424,146

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

The LCM of 324,896,286,424,146 is 40153905792.

Find LCM of 324,896,286,424,146 with Prime Factorization

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

2 x 2 x 2 x 81 x 112 x 143 x 53 x 73 = 40153905792

Therefore, the lowest common multiple of 324,896,286,424,146 is 40153905792.

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.

324 x 896 x 286 x 424 x 146 = 5139699941376

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

424 : 1, 2, 4, 8, 53, 106, 212, 424

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,896,286,424,146, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

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

286:2x 11x 13

424:2x 2x 2x 53

146:2x 73

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 2 = 64

Therefore, the value for common factors is 64.

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 = 5139699941376/(2x64)

LCM = 5139699941376/128

LCM = 40153905792

Thus, we can understand that the LCM of 324,896,286,424,146 is 40153905792.

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

• LCM of 566, 293, 582, 679, 209
• LCM of 600, 678, 434, 777, 628
• LCM of 871, 563, 599, 468, 410
• LCM of 496, 515, 254, 595, 352
• LCM of 666, 184, 253, 687, 399

1. What is the LCM of 324, 896, 286, 424, 146?

Answer: LCM of 324, 896, 286, 424, 146 is 40153905792.

2. How to calculate the LCM of 324, 896, 286, 424, 146?

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 324, 896, 286, 424, 146.

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}.