Given numbers are 728,969,470,767,488

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

The LCM of 728,969,470,767,488 is 596629695480.

Find LCM of 728,969,470,767,488 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 969 x 235 x 59 x 61 = 596629695480

Therefore, the lowest common multiple of 728,969,470,767,488 is 596629695480.

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.

728 x 969 x 470 x 767 x 488 = 124098976659840

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

969 : 1, 3, 17, 19, 51, 57, 323, 969

470 : 1, 2, 5, 10, 47, 94, 235, 470

767 : 1, 13, 59, 767

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,969,470,767,488, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

969:3x 17x 19

470:2x 5x 47

767:13x 59

488:2x 2x 2x 61

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 13 = 208

Therefore, the value for common factors is 208.

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 = 124098976659840/(1x208)

LCM = 124098976659840/208

LCM = 596629695480

Thus, we can understand that the LCM of 728,969,470,767,488 is 596629695480.

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

• LCM of 244, 409, 333, 194, 447
• LCM of 976, 748, 672, 928, 202
• LCM of 978, 583, 982, 600, 794
• LCM of 884, 480, 679, 465, 382
• LCM of 915, 668, 445, 870, 798

1. What is the LCM of 728, 969, 470, 767, 488?

Answer: LCM of 728, 969, 470, 767, 488 is 596629695480.

2. How to calculate the LCM of 728, 969, 470, 767, 488?

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 728, 969, 470, 767, 488.

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}.