Given numbers are 487,724,395,214

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

The LCM of 487,724,395,214 is 14902131820.

Find LCM of 487,724,395,214 with Prime Factorization

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

2 x 487 x 362 x 395 x 107 = 14902131820

Therefore, the lowest common multiple of 487,724,395,214 is 14902131820.

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 724 x 395 x 214 = 29804263640

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

724 : 1, 2, 4, 181, 362, 724

395 : 1, 5, 79, 395

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,724,395,214, is 1.

Now, the common factors can be found like this.

487:487

724:2x 2x 181

395:5x 79

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 29804263640/(1x2)

LCM = 29804263640/2

LCM = 14902131820

Thus, we can understand that the LCM of 487,724,395,214 is 14902131820.

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

• LCM of 723, 348, 777, 941
• LCM of 533, 832, 279, 446
• LCM of 301, 589, 314, 470
• LCM of 489, 271, 715, 688
• LCM of 586, 243, 776, 200

1. What is the LCM of 487, 724, 395, 214?

Answer: LCM of 487, 724, 395, 214 is 14902131820.

2. How to calculate the LCM of 487, 724, 395, 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 487, 724, 395, 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}.