Given numbers are 488,614,793,753

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

The LCM of 488,614,793,753 is 1466548824.

Find LCM of 488,614,793,753 with Prime Factorization

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

2 x 61 x 4 x 307 x 13 x 753 = 1466548824

Therefore, the lowest common multiple of 488,614,793,753 is 1466548824.

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.

488 x 614 x 793 x 753 = 178918956528

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.

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

614 : 1, 2, 307, 614

793 : 1, 13, 61, 793

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,614,793,753, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

614:2x 307

793:13x 61

753:3x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 178918956528/(1x122)

LCM = 178918956528/122

LCM = 1466548824

Thus, we can understand that the LCM of 488,614,793,753 is 1466548824.

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

• LCM of 241, 511, 204, 558
• LCM of 479, 668, 693, 245
• LCM of 744, 975, 323, 759
• LCM of 209, 996, 490, 393
• LCM of 861, 971, 381, 119

1. What is the LCM of 488, 614, 793, 753?

Answer: LCM of 488, 614, 793, 753 is 1466548824.

2. How to calculate the LCM of 488, 614, 793, 753?

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 488, 614, 793, 753.

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}.