Given numbers are 284,501,746,217

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

The LCM of 284,501,746,217 is 11516609244.

Find LCM of 284,501,746,217 with Prime Factorization

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

2 x 142 x 501 x 373 x 217 = 11516609244

Therefore, the lowest common multiple of 284,501,746,217 is 11516609244.

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 501 x 746 x 217 = 23033218488

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

501 : 1, 3, 167, 501

746 : 1, 2, 373, 746

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,501,746,217, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

501:3x 167

746:2x 373

217:7x 31

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 = 23033218488/(1x2)

LCM = 23033218488/2

LCM = 11516609244

Thus, we can understand that the LCM of 284,501,746,217 is 11516609244.

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

• LCM of 685, 377, 897, 917
• LCM of 422, 181, 111, 628
• LCM of 278, 398, 808, 158
• LCM of 454, 565, 219, 910
• LCM of 234, 963, 654, 547

1. What is the LCM of 284, 501, 746, 217?

Answer: LCM of 284, 501, 746, 217 is 11516609244.

2. How to calculate the LCM of 284, 501, 746, 217?

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, 501, 746, 217.

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}.