Given numbers are 862,328,646,420,864

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

The LCM of 862,328,646,420,864 is 172601845920.

Find LCM of 862,328,646,420,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 431 x 41 x 323 x 35 x 36 = 172601845920

Therefore, the lowest common multiple of 862,328,646,420,864 is 172601845920.

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 328 x 646 x 420 x 864 = 66279108833280

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

646 : 1, 2, 17, 19, 34, 38, 323, 646

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 862,328,646,420,864, is 2.

Now, the common factors can be found like this.

862:2x 431

328:2x 2x 2x 41

646:2x 17x 19

420:2x 2x 3x 5x 7

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 66279108833280/(2x192)

LCM = 66279108833280/384

LCM = 172601845920

Thus, we can understand that the LCM of 862,328,646,420,864 is 172601845920.

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

• LCM of 270, 218, 469, 662, 753
• LCM of 946, 799, 629, 116, 194
• LCM of 812, 775, 569, 735, 863
• LCM of 893, 649, 769, 504, 763
• LCM of 814, 295, 733, 536, 782

1. What is the LCM of 862, 328, 646, 420, 864?

Answer: LCM of 862, 328, 646, 420, 864 is 172601845920.

2. How to calculate the LCM of 862, 328, 646, 420, 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 862, 328, 646, 420, 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}.