Given numbers are 488,104,167,442,484

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

The LCM of 488,104,167,442,484 is 2179284536.

Find LCM of 488,104,167,442,484 with Prime Factorization

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

2 x 2 x 2 x 13 x 61 x 1 x 167 x 17 x 121 = 2179284536

Therefore, the lowest common multiple of 488,104,167,442,484 is 2179284536.

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 104 x 167 x 442 x 484 = 1813164733952

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

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

167 : 1, 167

442 : 1, 2, 13, 17, 26, 34, 221, 442

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,104,167,442,484, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

104:2x 2x 2x 13

167:167

442:2x 13x 17

484:2x 2x 11x 11

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 13 = 832

Therefore, the value for common factors is 832.

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 = 1813164733952/(1x832)

LCM = 1813164733952/832

LCM = 2179284536

Thus, we can understand that the LCM of 488,104,167,442,484 is 2179284536.

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

• LCM of 825, 178, 139, 273, 857
• LCM of 600, 300, 713, 434, 989
• LCM of 656, 295, 715, 576, 275
• LCM of 952, 128, 772, 866, 655
• LCM of 929, 224, 623, 347, 957

1. What is the LCM of 488, 104, 167, 442, 484?

Answer: LCM of 488, 104, 167, 442, 484 is 2179284536.

2. How to calculate the LCM of 488, 104, 167, 442, 484?

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, 104, 167, 442, 484.

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}.