Given numbers are 130,400,720,487

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

The LCM of 130,400,720,487 is 22791600.

Find LCM of 130,400,720,487 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 13 x 5 x 9 x 487 = 22791600

Therefore, the lowest common multiple of 130,400,720,487 is 22791600.

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.

130 x 400 x 720 x 487 = 18233280000

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,400,720,487, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

400:2x 2x 2x 2x 5x 5

720:2x 2x 2x 2x 3x 3x 5

487:487

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 2x 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 18233280000/(1x800)

LCM = 18233280000/800

LCM = 22791600

Thus, we can understand that the LCM of 130,400,720,487 is 22791600.

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

• LCM of 388, 497, 835, 369
• LCM of 669, 101, 457, 910
• LCM of 634, 180, 661, 378
• LCM of 193, 211, 404, 890
• LCM of 308, 390, 485, 111

1. What is the LCM of 130, 400, 720, 487?

Answer: LCM of 130, 400, 720, 487 is 22791600.

2. How to calculate the LCM of 130, 400, 720, 487?

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 130, 400, 720, 487.

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}.