Given numbers are 390,135,490,800

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

The LCM of 390,135,490,800 is 13759200.

Find LCM of 390,135,490,800 with Prime Factorization

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

2 x 3 x 5 x 13 x 9 x 49 x 80 = 13759200

Therefore, the lowest common multiple of 390,135,490,800 is 13759200.

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 135 x 490 x 800 = 20638800000

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,135,490,800, is 5.

Now, the common factors can be found like this.

390:2x 3x 5x 13

135:3x 3x 3x 5

490:2x 5x 7x 7

800:2x 2x 2x 2x 2x 5x 5

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 20638800000/(5x300)

LCM = 20638800000/1500

LCM = 13759200

Thus, we can understand that the LCM of 390,135,490,800 is 13759200.

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

• LCM of 747, 448, 641, 715
• LCM of 633, 704, 392, 381
• LCM of 157, 509, 328, 245
• LCM of 679, 149, 973, 900
• LCM of 574, 653, 371, 138

1. What is the LCM of 390, 135, 490, 800?

Answer: LCM of 390, 135, 490, 800 is 13759200.

2. How to calculate the LCM of 390, 135, 490, 800?

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, 135, 490, 800.

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}.