Given numbers are 164,260,409,313,521

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

The LCM of 164,260,409,313,521 is 710988495620.

Find LCM of 164,260,409,313,521 with Prime Factorization

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

2 x 2 x 41 x 65 x 409 x 313 x 521 = 710988495620

Therefore, the lowest common multiple of 164,260,409,313,521 is 710988495620.

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.

164 x 260 x 409 x 313 x 521 = 2843953982480

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.

164 : 1, 2, 4, 41, 82, 164

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

409 : 1, 409

313 : 1, 313

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,260,409,313,521, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

260:2x 2x 5x 13

409:409

313:313

521:521

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2843953982480/(1x4)

LCM = 2843953982480/4

LCM = 710988495620

Thus, we can understand that the LCM of 164,260,409,313,521 is 710988495620.

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

• LCM of 458, 859, 361, 137, 102
• LCM of 796, 245, 317, 806, 315
• LCM of 731, 885, 821, 630, 312
• LCM of 539, 323, 735, 621, 123
• LCM of 552, 685, 188, 166, 183

1. What is the LCM of 164, 260, 409, 313, 521?

Answer: LCM of 164, 260, 409, 313, 521 is 710988495620.

2. How to calculate the LCM of 164, 260, 409, 313, 521?

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 164, 260, 409, 313, 521.

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}.