Given numbers are 466,305,268,173,536

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

The LCM of 466,305,268,173,536 is 6589715320.

Find LCM of 466,305,268,173,536 with Prime Factorization

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

2 x 2 x 67 x 233 x 305 x 1 x 173 x 2 = 6589715320

Therefore, the lowest common multiple of 466,305,268,173,536 is 6589715320.

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 305 x 268 x 173 x 536 = 3532087411520

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

305 : 1, 5, 61, 305

268 : 1, 2, 4, 67, 134, 268

173 : 1, 173

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,305,268,173,536, is 1.

Now, the common factors can be found like this.

466:2x 233

305:5x 61

268:2x 2x 67

173:173

536:2x 2x 2x 67

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 67 = 536

Therefore, the value for common factors is 536.

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 = 3532087411520/(1x536)

LCM = 3532087411520/536

LCM = 6589715320

Thus, we can understand that the LCM of 466,305,268,173,536 is 6589715320.

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

• LCM of 908, 646, 723, 717, 322
• LCM of 975, 912, 632, 132, 941
• LCM of 797, 137, 748, 360, 833
• LCM of 857, 782, 360, 870, 261
• LCM of 827, 320, 417, 181, 908

1. What is the LCM of 466, 305, 268, 173, 536?

Answer: LCM of 466, 305, 268, 173, 536 is 6589715320.

2. How to calculate the LCM of 466, 305, 268, 173, 536?

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, 305, 268, 173, 536.

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}.