Given numbers are 260,312,348,669,471

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

The LCM of 260,312,348,669,471 is 1583897640.

Find LCM of 260,312,348,669,471 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 2 x 29 x 223 x 157 = 1583897640

Therefore, the lowest common multiple of 260,312,348,669,471 is 1583897640.

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.

260 x 312 x 348 x 669 x 471 = 8895169146240

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

669 : 1, 3, 223, 669

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,312,348,669,471, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

312:2x 2x 2x 3x 13

348:2x 2x 3x 29

669:3x 223

471:3x 157

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 2x 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 8895169146240/(1x5616)

LCM = 8895169146240/5616

LCM = 1583897640

Thus, we can understand that the LCM of 260,312,348,669,471 is 1583897640.

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

• LCM of 804, 576, 608, 344, 877
• LCM of 377, 502, 543, 820, 466
• LCM of 180, 271, 592, 695, 143
• LCM of 889, 490, 547, 561, 269
• LCM of 819, 863, 609, 706, 301

1. What is the LCM of 260, 312, 348, 669, 471?

Answer: LCM of 260, 312, 348, 669, 471 is 1583897640.

2. How to calculate the LCM of 260, 312, 348, 669, 471?

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 260, 312, 348, 669, 471.

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}.