Given numbers are 466,900,220,260,166

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

The LCM of 466,900,220,260,166 is 2488929300.

Find LCM of 466,900,220,260,166 with Prime Factorization

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

2 x 2 x 5 x 233 x 45 x 11 x 13 x 83 = 2488929300

Therefore, the lowest common multiple of 466,900,220,260,166 is 2488929300.

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.

466 x 900 x 220 x 260 x 166 = 3982286880000

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.

466 : 1, 2, 233, 466

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,900,220,260,166, is 2.

Now, the common factors can be found like this.

466:2x 233

900:2x 2x 3x 3x 5x 5

220:2x 2x 5x 11

260:2x 2x 5x 13

166:2x 83

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 3982286880000/(2x800)

LCM = 3982286880000/1600

LCM = 2488929300

Thus, we can understand that the LCM of 466,900,220,260,166 is 2488929300.

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

• LCM of 761, 812, 574, 713, 642
• LCM of 952, 579, 708, 522, 172
• LCM of 729, 725, 256, 922, 823
• LCM of 218, 152, 703, 951, 796
• LCM of 675, 304, 297, 304, 504

1. What is the LCM of 466, 900, 220, 260, 166?

Answer: LCM of 466, 900, 220, 260, 166 is 2488929300.

2. How to calculate the LCM of 466, 900, 220, 260, 166?

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 466, 900, 220, 260, 166.

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}.