Given numbers are 862,368,720,208

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

The LCM of 862,368,720,208 is 92785680.

Find LCM of 862,368,720,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 431 x 23 x 45 x 13 = 92785680

Therefore, the lowest common multiple of 862,368,720,208 is 92785680.

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.

862 x 368 x 720 x 208 = 47506268160

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.

862 : 1, 2, 431, 862

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,368,720,208, is 2.

Now, the common factors can be found like this.

862:2x 431

368:2x 2x 2x 2x 23

720:2x 2x 2x 2x 3x 3x 5

208:2x 2x 2x 2x 13

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 47506268160/(2x256)

LCM = 47506268160/512

LCM = 92785680

Thus, we can understand that the LCM of 862,368,720,208 is 92785680.

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

• LCM of 196, 276, 948, 573
• LCM of 468, 598, 171, 938
• LCM of 408, 825, 485, 569
• LCM of 891, 900, 155, 621
• LCM of 366, 195, 407, 288

1. What is the LCM of 862, 368, 720, 208?

Answer: LCM of 862, 368, 720, 208 is 92785680.

2. How to calculate the LCM of 862, 368, 720, 208?

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 862, 368, 720, 208.

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}.