Given numbers are 480,420,468,284

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

The LCM of 480,420,468,284 is 9303840.

Find LCM of 480,420,468,284 with Prime Factorization

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

2 x 2 x 3 x 5 x 8 x 7 x 39 x 71 = 9303840

Therefore, the lowest common multiple of 480,420,468,284 is 9303840.

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 420 x 468 x 284 = 26795059200

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

284 : 1, 2, 4, 71, 142, 284

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,420,468,284, is 4.

Now, the common factors can be found like this.

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

420:2x 2x 3x 5x 7

468:2x 2x 3x 3x 13

284:2x 2x 71

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 26795059200/(4x720)

LCM = 26795059200/2880

LCM = 9303840

Thus, we can understand that the LCM of 480,420,468,284 is 9303840.

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

• LCM of 464, 200, 685, 706
• LCM of 543, 672, 342, 938
• LCM of 776, 885, 364, 402
• LCM of 880, 309, 573, 829
• LCM of 612, 569, 781, 455

1. What is the LCM of 480, 420, 468, 284?

Answer: LCM of 480, 420, 468, 284 is 9303840.

2. How to calculate the LCM of 480, 420, 468, 284?

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, 420, 468, 284.

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}.