Given numbers are 258,109,349,324

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

The LCM of 258,109,349,324 is 529987212.

Find LCM of 258,109,349,324 with Prime Factorization

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

2 x 3 x 43 x 109 x 349 x 54 = 529987212

Therefore, the lowest common multiple of 258,109,349,324 is 529987212.

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 109 x 349 x 324 = 3179923272

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

109 : 1, 109

349 : 1, 349

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,109,349,324, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

109:109

349:349

324:2x 2x 3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 3179923272/(1x6)

LCM = 3179923272/6

LCM = 529987212

Thus, we can understand that the LCM of 258,109,349,324 is 529987212.

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

• LCM of 881, 514, 680, 194
• LCM of 498, 874, 962, 693
• LCM of 113, 672, 593, 528
• LCM of 488, 422, 834, 764
• LCM of 138, 502, 911, 521

1. What is the LCM of 258, 109, 349, 324?

Answer: LCM of 258, 109, 349, 324 is 529987212.

2. How to calculate the LCM of 258, 109, 349, 324?

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, 109, 349, 324.

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}.