Given numbers are 485,584,295,214

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

The LCM of 485,584,295,214 is 1788094120.

Find LCM of 485,584,295,214 with Prime Factorization

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

2 x 5 x 97 x 292 x 59 x 107 = 1788094120

Therefore, the lowest common multiple of 485,584,295,214 is 1788094120.

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.

485 x 584 x 295 x 214 = 17880941200

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.

485 : 1, 5, 97, 485

584 : 1, 2, 4, 8, 73, 146, 292, 584

295 : 1, 5, 59, 295

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,584,295,214, is 1.

Now, the common factors can be found like this.

485:5x 97

584:2x 2x 2x 73

295:5x 59

214:2x 107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17880941200/(1x10)

LCM = 17880941200/10

LCM = 1788094120

Thus, we can understand that the LCM of 485,584,295,214 is 1788094120.

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

• LCM of 871, 731, 170, 117
• LCM of 593, 568, 366, 127
• LCM of 192, 212, 343, 506
• LCM of 505, 465, 839, 213
• LCM of 708, 399, 911, 634

1. What is the LCM of 485, 584, 295, 214?

Answer: LCM of 485, 584, 295, 214 is 1788094120.

2. How to calculate the LCM of 485, 584, 295, 214?

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 485, 584, 295, 214.

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}.