Given numbers are 326,578,218,352,149

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

The LCM of 326,578,218,352,149 is 269302805024.

Find LCM of 326,578,218,352,149 with Prime Factorization

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

2 x 163 x 289 x 109 x 176 x 149 = 269302805024

Therefore, the lowest common multiple of 326,578,218,352,149 is 269302805024.

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.

326 x 578 x 218 x 352 x 149 = 2154422440192

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.

326 : 1, 2, 163, 326

578 : 1, 2, 17, 34, 289, 578

218 : 1, 2, 109, 218

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,578,218,352,149, is 1.

Now, the common factors can be found like this.

326:2x 163

578:2x 17x 17

218:2x 109

352:2x 2x 2x 2x 2x 11

149:149

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2154422440192/(1x8)

LCM = 2154422440192/8

LCM = 269302805024

Thus, we can understand that the LCM of 326,578,218,352,149 is 269302805024.

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

• LCM of 722, 880, 980, 767, 858
• LCM of 755, 168, 671, 900, 432
• LCM of 226, 910, 681, 387, 379
• LCM of 531, 259, 365, 229, 454
• LCM of 805, 436, 344, 710, 784

1. What is the LCM of 326, 578, 218, 352, 149?

Answer: LCM of 326, 578, 218, 352, 149 is 269302805024.

2. How to calculate the LCM of 326, 578, 218, 352, 149?

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 326, 578, 218, 352, 149.

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}.