Given numbers are 892,671,331,288

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

The LCM of 892,671,331,288 is 14264214624.

Find LCM of 892,671,331,288 with Prime Factorization

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

2 x 2 x 223 x 671 x 331 x 72 = 14264214624

Therefore, the lowest common multiple of 892,671,331,288 is 14264214624.

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.

892 x 671 x 331 x 288 = 57056858496

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.

892 : 1, 2, 4, 223, 446, 892

671 : 1, 11, 61, 671

331 : 1, 331

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,671,331,288, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

671:11x 61

331:331

288:2x 2x 2x 2x 2x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57056858496/(1x4)

LCM = 57056858496/4

LCM = 14264214624

Thus, we can understand that the LCM of 892,671,331,288 is 14264214624.

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

• LCM of 757, 432, 309, 223
• LCM of 637, 278, 655, 246
• LCM of 908, 964, 996, 899
• LCM of 687, 614, 218, 856
• LCM of 727, 491, 859, 566

1. What is the LCM of 892, 671, 331, 288?

Answer: LCM of 892, 671, 331, 288 is 14264214624.

2. How to calculate the LCM of 892, 671, 331, 288?

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 892, 671, 331, 288.

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}.