Given numbers are 284,158,406,947,646

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

The LCM of 284,158,406,947,646 is 1393137461548.

Find LCM of 284,158,406,947,646 with Prime Factorization

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

2 x 142 x 79 x 203 x 947 x 323 = 1393137461548

Therefore, the lowest common multiple of 284,158,406,947,646 is 1393137461548.

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 158 x 406 x 947 x 646 = 11145099692384

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

158 : 1, 2, 79, 158

406 : 1, 2, 7, 14, 29, 58, 203, 406

947 : 1, 947

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,158,406,947,646, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

158:2x 79

406:2x 7x 29

947:947

646:2x 17x 19

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 11145099692384/(1x8)

LCM = 11145099692384/8

LCM = 1393137461548

Thus, we can understand that the LCM of 284,158,406,947,646 is 1393137461548.

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

• LCM of 934, 686, 882, 514, 434
• LCM of 981, 253, 486, 796, 450
• LCM of 673, 176, 372, 590, 759
• LCM of 461, 668, 716, 185, 809
• LCM of 552, 468, 941, 607, 275

1. What is the LCM of 284, 158, 406, 947, 646?

Answer: LCM of 284, 158, 406, 947, 646 is 1393137461548.

2. How to calculate the LCM of 284, 158, 406, 947, 646?

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, 158, 406, 947, 646.

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}.