Given numbers are 260,244,416,312,286

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

The LCM of 260,244,416,312,286 is 4187040.

Find LCM of 260,244,416,312,286 with Prime Factorization

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

2 x 2 x 2 x 13 x 5 x 61 x 4 x 3 x 11 = 4187040

Therefore, the lowest common multiple of 260,244,416,312,286 is 4187040.

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 244 x 416 x 312 x 286 = 2354925281280

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

244 : 1, 2, 4, 61, 122, 244

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,244,416,312,286, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

244:2x 2x 61

416:2x 2x 2x 2x 2x 13

312:2x 2x 2x 3x 13

286:2x 11x 13

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 2x 2x 2x 13x 13x 13 = 281216

Therefore, the value for common factors is 281216.

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 = 2354925281280/(2x281216)

LCM = 2354925281280/562432

LCM = 4187040

Thus, we can understand that the LCM of 260,244,416,312,286 is 4187040.

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

• LCM of 587, 620, 906, 949, 720
• LCM of 854, 855, 362, 450, 942
• LCM of 897, 953, 434, 618, 147
• LCM of 520, 518, 768, 708, 355
• LCM of 747, 297, 459, 732, 191

1. What is the LCM of 260, 244, 416, 312, 286?

Answer: LCM of 260, 244, 416, 312, 286 is 4187040.

2. How to calculate the LCM of 260, 244, 416, 312, 286?

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, 244, 416, 312, 286.

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}.