Given numbers are 224,506,161,463,217

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

The LCM of 224,506,161,463,217 is 813413216.

Find LCM of 224,506,161,463,217 with Prime Factorization

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

2 x 7 x 23 x 16 x 11 x 1 x 463 x 31 = 813413216

Therefore, the lowest common multiple of 224,506,161,463,217 is 813413216.

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.

224 x 506 x 161 x 463 x 217 = 1833433388864

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

506 : 1, 2, 11, 22, 23, 46, 253, 506

161 : 1, 7, 23, 161

463 : 1, 463

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,506,161,463,217, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

506:2x 11x 23

161:7x 23

463:463

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.

2x 7x 7x 23 = 2254

Therefore, the value for common factors is 2254.

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 = 1833433388864/(1x2254)

LCM = 1833433388864/2254

LCM = 813413216

Thus, we can understand that the LCM of 224,506,161,463,217 is 813413216.

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

• LCM of 424, 125, 862, 225, 301
• LCM of 978, 181, 403, 889, 627
• LCM of 869, 466, 155, 263, 271
• LCM of 751, 488, 286, 422, 697
• LCM of 171, 972, 607, 139, 466

1. What is the LCM of 224, 506, 161, 463, 217?

Answer: LCM of 224, 506, 161, 463, 217 is 813413216.

2. How to calculate the LCM of 224, 506, 161, 463, 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 224, 506, 161, 463, 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}.