Given numbers are 510,652,214,864

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

The LCM of 510,652,214,864 is 1280867040.

Find LCM of 510,652,214,864 with Prime Factorization

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

2 x 2 x 3 x 85 x 163 x 107 x 72 = 1280867040

Therefore, the lowest common multiple of 510,652,214,864 is 1280867040.

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.

510 x 652 x 214 x 864 = 61481617920

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

652 : 1, 2, 4, 163, 326, 652

214 : 1, 2, 107, 214

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,652,214,864, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

652:2x 2x 163

214:2x 107

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 61481617920/(2x24)

LCM = 61481617920/48

LCM = 1280867040

Thus, we can understand that the LCM of 510,652,214,864 is 1280867040.

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

• LCM of 784, 209, 883, 306
• LCM of 561, 443, 642, 363
• LCM of 561, 154, 791, 968
• LCM of 349, 825, 144, 851
• LCM of 243, 755, 376, 948

1. What is the LCM of 510, 652, 214, 864?

Answer: LCM of 510, 652, 214, 864 is 1280867040.

2. How to calculate the LCM of 510, 652, 214, 864?

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 510, 652, 214, 864.

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}.