Given numbers are 264,788,286,208

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

The LCM of 264,788,286,208 is 1352208.

Find LCM of 264,788,286,208 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 3 x 197 x 1 x 2 = 1352208

Therefore, the lowest common multiple of 264,788,286,208 is 1352208.

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.

264 x 788 x 286 x 208 = 12375407616

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

788 : 1, 2, 4, 197, 394, 788

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,788,286,208, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

788:2x 2x 197

286:2x 11x 13

208:2x 2x 2x 2x 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 11x 13 = 4576

Therefore, the value for common factors is 4576.

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 = 12375407616/(2x4576)

LCM = 12375407616/9152

LCM = 1352208

Thus, we can understand that the LCM of 264,788,286,208 is 1352208.

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

• LCM of 533, 386, 925, 807
• LCM of 611, 955, 866, 903
• LCM of 467, 382, 893, 229
• LCM of 410, 558, 171, 433
• LCM of 120, 644, 475, 711

1. What is the LCM of 264, 788, 286, 208?

Answer: LCM of 264, 788, 286, 208 is 1352208.

2. How to calculate the LCM of 264, 788, 286, 208?

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 264, 788, 286, 208.

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}.