Given numbers are 464,214,634,506

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

The LCM of 464,214,634,506 is 3981819248.

Find LCM of 464,214,634,506 with Prime Factorization

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

2 x 232 x 107 x 317 x 253 = 3981819248

Therefore, the lowest common multiple of 464,214,634,506 is 3981819248.

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 214 x 634 x 506 = 31854553984

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

214 : 1, 2, 107, 214

634 : 1, 2, 317, 634

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,214,634,506, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

214:2x 107

634:2x 317

506:2x 11x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31854553984/(2x4)

LCM = 31854553984/8

LCM = 3981819248

Thus, we can understand that the LCM of 464,214,634,506 is 3981819248.

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

• LCM of 174, 996, 481, 489
• LCM of 265, 136, 748, 918
• LCM of 963, 946, 789, 736
• LCM of 530, 986, 753, 874
• LCM of 628, 951, 481, 262

1. What is the LCM of 464, 214, 634, 506?

Answer: LCM of 464, 214, 634, 506 is 3981819248.

2. How to calculate the LCM of 464, 214, 634, 506?

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, 214, 634, 506.

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}.