Given numbers are 390,566,849,409

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

The LCM of 390,566,849,409 is 45141330.

Find LCM of 390,566,849,409 with Prime Factorization

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

2 x 3 x 283 x 65 x 1 x 1 x 409 = 45141330

Therefore, the lowest common multiple of 390,566,849,409 is 45141330.

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.

390 x 566 x 849 x 409 = 76649978340

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

566 : 1, 2, 283, 566

849 : 1, 3, 283, 849

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,566,849,409, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

566:2x 283

849:3x 283

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 3x 283 = 1698

Therefore, the value for common factors is 1698.

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 = 76649978340/(1x1698)

LCM = 76649978340/1698

LCM = 45141330

Thus, we can understand that the LCM of 390,566,849,409 is 45141330.

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

• LCM of 597, 475, 309, 678
• LCM of 804, 810, 623, 843
• LCM of 261, 448, 533, 451
• LCM of 718, 219, 824, 957
• LCM of 512, 640, 534, 943

1. What is the LCM of 390, 566, 849, 409?

Answer: LCM of 390, 566, 849, 409 is 45141330.

2. How to calculate the LCM of 390, 566, 849, 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 390, 566, 849, 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}.