Given numbers are 720,386,435,460

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

The LCM of 720,386,435,460 is 92686320.

Find LCM of 720,386,435,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 12 x 193 x 29 x 23 = 92686320

Therefore, the lowest common multiple of 720,386,435,460 is 92686320.

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.

720 x 386 x 435 x 460 = 55611792000

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.

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

386 : 1, 2, 193, 386

435 : 1, 3, 5, 15, 29, 87, 145, 435

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,386,435,460, is 1.

Now, the common factors can be found like this.

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

386:2x 193

435:3x 5x 29

460:2x 2x 5x 23

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 55611792000/(1x600)

LCM = 55611792000/600

LCM = 92686320

Thus, we can understand that the LCM of 720,386,435,460 is 92686320.

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

• LCM of 842, 890, 328, 713
• LCM of 722, 840, 835, 859
• LCM of 224, 116, 620, 744
• LCM of 712, 407, 450, 308
• LCM of 975, 597, 954, 347

1. What is the LCM of 720, 386, 435, 460?

Answer: LCM of 720, 386, 435, 460 is 92686320.

2. How to calculate the LCM of 720, 386, 435, 460?

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 720, 386, 435, 460.

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}.