Given numbers are 284,497,369,214

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

The LCM of 284,497,369,214 is 78492204.

Find LCM of 284,497,369,214 with Prime Factorization

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

2 x 71 x 2 x 7 x 369 x 107 = 78492204

Therefore, the lowest common multiple of 284,497,369,214 is 78492204.

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.

284 x 497 x 369 x 214 = 11145892968

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.

284 : 1, 2, 4, 71, 142, 284

497 : 1, 7, 71, 497

369 : 1, 3, 9, 41, 123, 369

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,497,369,214, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

497:7x 71

369:3x 3x 41

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 71 = 142

Therefore, the value for common factors is 142.

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 = 11145892968/(1x142)

LCM = 11145892968/142

LCM = 78492204

Thus, we can understand that the LCM of 284,497,369,214 is 78492204.

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

• LCM of 330, 753, 653, 253
• LCM of 736, 570, 832, 570
• LCM of 128, 766, 155, 142
• LCM of 443, 949, 864, 913
• LCM of 926, 848, 718, 691

1. What is the LCM of 284, 497, 369, 214?

Answer: LCM of 284, 497, 369, 214 is 78492204.

2. How to calculate the LCM of 284, 497, 369, 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 284, 497, 369, 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}.