Given numbers are 258,371,634,688

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

The LCM of 258,371,634,688 is 242740848.

Find LCM of 258,371,634,688 with Prime Factorization

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

2 x 43 x 3 x 371 x 317 x 8 = 242740848

Therefore, the lowest common multiple of 258,371,634,688 is 242740848.

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.

258 x 371 x 634 x 688 = 41751425856

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

371 : 1, 7, 53, 371

634 : 1, 2, 317, 634

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,371,634,688, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

371:7x 53

634:2x 317

688:2x 2x 2x 2x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 41751425856/(1x172)

LCM = 41751425856/172

LCM = 242740848

Thus, we can understand that the LCM of 258,371,634,688 is 242740848.

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

• LCM of 936, 894, 282, 783
• LCM of 527, 929, 872, 885
• LCM of 828, 311, 332, 341
• LCM of 958, 809, 949, 525
• LCM of 243, 940, 145, 504

1. What is the LCM of 258, 371, 634, 688?

Answer: LCM of 258, 371, 634, 688 is 242740848.

2. How to calculate the LCM of 258, 371, 634, 688?

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 258, 371, 634, 688.

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}.