Given numbers are 488,214,790,415

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

The LCM of 488,214,790,415 is 1711901560.

Find LCM of 488,214,790,415 with Prime Factorization

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

2 x 5 x 244 x 107 x 79 x 83 = 1711901560

Therefore, the lowest common multiple of 488,214,790,415 is 1711901560.

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 214 x 790 x 415 = 34238031200

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

214 : 1, 2, 107, 214

790 : 1, 2, 5, 10, 79, 158, 395, 790

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,214,790,415, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

214:2x 107

790:2x 5x 79

415:5x 83

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 5 = 20

Therefore, the value for common factors is 20.

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 = 34238031200/(1x20)

LCM = 34238031200/20

LCM = 1711901560

Thus, we can understand that the LCM of 488,214,790,415 is 1711901560.

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

• LCM of 424, 315, 470, 793
• LCM of 615, 968, 824, 449
• LCM of 781, 850, 965, 118
• LCM of 268, 376, 611, 440
• LCM of 774, 505, 643, 383

1. What is the LCM of 488, 214, 790, 415?

Answer: LCM of 488, 214, 790, 415 is 1711901560.

2. How to calculate the LCM of 488, 214, 790, 415?

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, 214, 790, 415.

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}.