Given numbers are 258,728,369,514

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

The LCM of 258,728,369,514 is 2968652232.

Find LCM of 258,728,369,514 with Prime Factorization

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

2 x 3 x 43 x 364 x 123 x 257 = 2968652232

Therefore, the lowest common multiple of 258,728,369,514 is 2968652232.

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 728 x 369 x 514 = 35623826784

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

369 : 1, 3, 9, 41, 123, 369

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,728,369,514, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

728:2x 2x 2x 7x 13

369:3x 3x 41

514:2x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 35623826784/(1x12)

LCM = 35623826784/12

LCM = 2968652232

Thus, we can understand that the LCM of 258,728,369,514 is 2968652232.

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

• LCM of 988, 599, 932, 993
• LCM of 537, 905, 608, 223
• LCM of 776, 362, 173, 641
• LCM of 368, 380, 523, 734
• LCM of 700, 225, 766, 951

1. What is the LCM of 258, 728, 369, 514?

Answer: LCM of 258, 728, 369, 514 is 2968652232.

2. How to calculate the LCM of 258, 728, 369, 514?

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, 728, 369, 514.

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}.