Given numbers are 279,466,460,658,217

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

The LCM of 279,466,460,658,217 is 9838159380.

Find LCM of 279,466,460,658,217 with Prime Factorization

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

2 x 7 x 31 x 9 x 233 x 230 x 47 x 1 = 9838159380

Therefore, the lowest common multiple of 279,466,460,658,217 is 9838159380.

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.

279 x 466 x 460 x 658 x 217 = 8539522341840

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.

279 : 1, 3, 9, 31, 93, 279

466 : 1, 2, 233, 466

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

658 : 1, 2, 7, 14, 47, 94, 329, 658

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,466,460,658,217, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

466:2x 233

460:2x 2x 5x 23

658:2x 7x 47

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 2x 7x 31 = 868

Therefore, the value for common factors is 868.

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 = 8539522341840/(1x868)

LCM = 8539522341840/868

LCM = 9838159380

Thus, we can understand that the LCM of 279,466,460,658,217 is 9838159380.

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

• LCM of 594, 531, 737, 393, 294
• LCM of 834, 309, 961, 510, 469
• LCM of 947, 669, 484, 326, 903
• LCM of 903, 172, 535, 951, 871
• LCM of 744, 515, 688, 392, 821

1. What is the LCM of 279, 466, 460, 658, 217?

Answer: LCM of 279, 466, 460, 658, 217 is 9838159380.

2. How to calculate the LCM of 279, 466, 460, 658, 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 279, 466, 460, 658, 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}.