Given numbers are 283,128,480,470,220

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

The LCM of 283,128,480,470,220 is 280917120.

Find LCM of 283,128,480,470,220 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 283 x 4 x 3 x 47 x 11 = 280917120

Therefore, the lowest common multiple of 283,128,480,470,220 is 280917120.

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.

283 x 128 x 480 x 470 x 220 = 1797869568000

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.

283 : 1, 283

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,128,480,470,220, is 1.

Now, the common factors can be found like this.

283:283

128:2x 2x 2x 2x 2x 2x 2

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

470:2x 5x 47

220:2x 2x 5x 11

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 2x 2x 2x 5x 5 = 6400

Therefore, the value for common factors is 6400.

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 = 1797869568000/(1x6400)

LCM = 1797869568000/6400

LCM = 280917120

Thus, we can understand that the LCM of 283,128,480,470,220 is 280917120.

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

• LCM of 590, 755, 781, 271, 168
• LCM of 860, 913, 297, 696, 460
• LCM of 919, 333, 634, 499, 590
• LCM of 288, 361, 614, 466, 377
• LCM of 462, 842, 390, 843, 717

1. What is the LCM of 283, 128, 480, 470, 220?

Answer: LCM of 283, 128, 480, 470, 220 is 280917120.

2. How to calculate the LCM of 283, 128, 480, 470, 220?

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 283, 128, 480, 470, 220.

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}.