Given numbers are 362,334,660,409

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

The LCM of 362,334,660,409 is 8159476380.

Find LCM of 362,334,660,409 with Prime Factorization

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

2 x 181 x 167 x 330 x 409 = 8159476380

Therefore, the lowest common multiple of 362,334,660,409 is 8159476380.

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.

362 x 334 x 660 x 409 = 32637905520

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.

362 : 1, 2, 181, 362

334 : 1, 2, 167, 334

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,334,660,409, is 1.

Now, the common factors can be found like this.

362:2x 181

334:2x 167

660:2x 2x 3x 5x 11

409:409

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 = 32637905520/(1x4)

LCM = 32637905520/4

LCM = 8159476380

Thus, we can understand that the LCM of 362,334,660,409 is 8159476380.

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

• LCM of 597, 403, 942, 652
• LCM of 778, 169, 175, 360
• LCM of 197, 620, 459, 800
• LCM of 271, 529, 240, 657
• LCM of 857, 878, 926, 707

1. What is the LCM of 362, 334, 660, 409?

Answer: LCM of 362, 334, 660, 409 is 8159476380.

2. How to calculate the LCM of 362, 334, 660, 409?

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 362, 334, 660, 409.

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}.