Given numbers are 988,762,450,338,864

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

The LCM of 988,762,450,338,864 is 8808415200.

Find LCM of 988,762,450,338,864 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 19 x 127 x 25 x 13 x 24 = 8808415200

Therefore, the lowest common multiple of 988,762,450,338,864 is 8808415200.

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.

988 x 762 x 450 x 338 x 864 = 98936119526400

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

762 : 1, 2, 3, 6, 127, 254, 381, 762

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

338 : 1, 2, 13, 26, 169, 338

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 988,762,450,338,864, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

762:2x 3x 127

450:2x 3x 3x 5x 5

338:2x 13x 13

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 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 98936119526400/(2x5616)

LCM = 98936119526400/11232

LCM = 8808415200

Thus, we can understand that the LCM of 988,762,450,338,864 is 8808415200.

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

• LCM of 962, 264, 568, 505, 712
• LCM of 514, 885, 538, 518, 936
• LCM of 196, 359, 195, 619, 563
• LCM of 964, 316, 633, 889, 863
• LCM of 731, 495, 751, 363, 857

1. What is the LCM of 988, 762, 450, 338, 864?

Answer: LCM of 988, 762, 450, 338, 864 is 8808415200.

2. How to calculate the LCM of 988, 762, 450, 338, 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 988, 762, 450, 338, 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}.