Given numbers are 427,786,306,470,480

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

The LCM of 427,786,306,470,480 is 64358874720.

Find LCM of 427,786,306,470,480 with Prime Factorization

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

2 x 3 x 5 x 427 x 131 x 51 x 47 x 16 = 64358874720

Therefore, the lowest common multiple of 427,786,306,470,480 is 64358874720.

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.

427 x 786 x 306 x 470 x 480 = 23169194899200

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.

427 : 1, 7, 61, 427

786 : 1, 2, 3, 6, 131, 262, 393, 786

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,786,306,470,480, is 1.

Now, the common factors can be found like this.

427:7x 61

786:2x 3x 131

306:2x 3x 3x 17

470:2x 5x 47

480:2x 2x 2x 2x 2x 3x 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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 23169194899200/(1x360)

LCM = 23169194899200/360

LCM = 64358874720

Thus, we can understand that the LCM of 427,786,306,470,480 is 64358874720.

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

• LCM of 184, 200, 685, 763, 452
• LCM of 286, 206, 328, 906, 736
• LCM of 886, 414, 343, 448, 674
• LCM of 833, 796, 826, 556, 780
• LCM of 524, 371, 427, 789, 145

1. What is the LCM of 427, 786, 306, 470, 480?

Answer: LCM of 427, 786, 306, 470, 480 is 64358874720.

2. How to calculate the LCM of 427, 786, 306, 470, 480?

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 427, 786, 306, 470, 480.

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}.