Given numbers are 464,486,535,205

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

The LCM of 464,486,535,205 is 2473215120.

Find LCM of 464,486,535,205 with Prime Factorization

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

2 x 5 x 232 x 243 x 107 x 41 = 2473215120

Therefore, the lowest common multiple of 464,486,535,205 is 2473215120.

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.

464 x 486 x 535 x 205 = 24732151200

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

535 : 1, 5, 107, 535

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,486,535,205, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

486:2x 3x 3x 3x 3x 3

535:5x 107

205:5x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 24732151200/(1x10)

LCM = 24732151200/10

LCM = 2473215120

Thus, we can understand that the LCM of 464,486,535,205 is 2473215120.

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

• LCM of 245, 190, 433, 347
• LCM of 100, 692, 595, 151
• LCM of 171, 399, 814, 208
• LCM of 309, 729, 455, 928
• LCM of 743, 793, 900, 288

1. What is the LCM of 464, 486, 535, 205?

Answer: LCM of 464, 486, 535, 205 is 2473215120.

2. How to calculate the LCM of 464, 486, 535, 205?

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 464, 486, 535, 205.

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}.