Given numbers are 480,456,765,386,470

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

The LCM of 480,456,765,386,470 is 4219103520.

Find LCM of 480,456,765,386,470 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 4 x 19 x 51 x 193 x 47 = 4219103520

Therefore, the lowest common multiple of 480,456,765,386,470 is 4219103520.

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.

480 x 456 x 765 x 386 x 470 = 30377545344000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

386 : 1, 2, 193, 386

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,456,765,386,470, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

456:2x 2x 2x 3x 19

765:3x 3x 5x 17

386:2x 193

470:2x 5x 47

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 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 30377545344000/(1x7200)

LCM = 30377545344000/7200

LCM = 4219103520

Thus, we can understand that the LCM of 480,456,765,386,470 is 4219103520.

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

• LCM of 111, 803, 470, 377, 820
• LCM of 983, 282, 608, 695, 317
• LCM of 795, 479, 625, 640, 644
• LCM of 602, 533, 622, 207, 745
• LCM of 424, 329, 326, 247, 483

1. What is the LCM of 480, 456, 765, 386, 470?

Answer: LCM of 480, 456, 765, 386, 470 is 4219103520.

2. How to calculate the LCM of 480, 456, 765, 386, 470?

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 480, 456, 765, 386, 470.

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}.