Given numbers are 284,507,163,221

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

The LCM of 284,507,163,221 is 398990748.

Find LCM of 284,507,163,221 with Prime Factorization

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

13 x 284 x 39 x 163 x 17 = 398990748

Therefore, the lowest common multiple of 284,507,163,221 is 398990748.

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 507 x 163 x 221 = 5186879724

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

507 : 1, 3, 13, 39, 169, 507

163 : 1, 163

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,507,163,221, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

507:3x 13x 13

163:163

221:13x 17

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

13 = 13

Therefore, the value for common factors is 13.

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 = 5186879724/(1x13)

LCM = 5186879724/13

LCM = 398990748

Thus, we can understand that the LCM of 284,507,163,221 is 398990748.

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

• LCM of 189, 504, 173, 654
• LCM of 820, 336, 138, 477
• LCM of 998, 278, 520, 794
• LCM of 563, 800, 909, 488
• LCM of 766, 164, 964, 436

1. What is the LCM of 284, 507, 163, 221?

Answer: LCM of 284, 507, 163, 221 is 398990748.

2. How to calculate the LCM of 284, 507, 163, 221?

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, 507, 163, 221.

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}.