Given numbers are 487,834,214,219

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

The LCM of 487,834,214,219 is 3172500138.

Find LCM of 487,834,214,219 with Prime Factorization

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

2 x 3 x 487 x 139 x 107 x 73 = 3172500138

Therefore, the lowest common multiple of 487,834,214,219 is 3172500138.

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.

487 x 834 x 214 x 219 = 19035000828

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.

487 : 1, 487

834 : 1, 2, 3, 6, 139, 278, 417, 834

214 : 1, 2, 107, 214

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,834,214,219, is 1.

Now, the common factors can be found like this.

487:487

834:2x 3x 139

214:2x 107

219:3x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19035000828/(1x6)

LCM = 19035000828/6

LCM = 3172500138

Thus, we can understand that the LCM of 487,834,214,219 is 3172500138.

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

• LCM of 461, 649, 581, 655
• LCM of 870, 975, 464, 639
• LCM of 177, 234, 281, 594
• LCM of 760, 614, 781, 357
• LCM of 418, 979, 759, 298

1. What is the LCM of 487, 834, 214, 219?

Answer: LCM of 487, 834, 214, 219 is 3172500138.

2. How to calculate the LCM of 487, 834, 214, 219?

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 487, 834, 214, 219.

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}.