Given numbers are 258,305,604,461,112

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

The LCM of 258,305,604,461,112 is 306750617040.

Find LCM of 258,305,604,461,112 with Prime Factorization

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

2 x 2 x 129 x 305 x 151 x 461 x 28 = 306750617040

Therefore, the lowest common multiple of 258,305,604,461,112 is 306750617040.

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 305 x 604 x 461 x 112 = 2454004936320

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

305 : 1, 5, 61, 305

604 : 1, 2, 4, 151, 302, 604

461 : 1, 461

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,305,604,461,112, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

305:5x 61

604:2x 2x 151

461:461

112:2x 2x 2x 2x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2454004936320/(1x8)

LCM = 2454004936320/8

LCM = 306750617040

Thus, we can understand that the LCM of 258,305,604,461,112 is 306750617040.

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

• LCM of 287, 497, 642, 965, 862
• LCM of 804, 142, 100, 573, 281
• LCM of 886, 730, 192, 439, 841
• LCM of 356, 215, 858, 578, 957
• LCM of 735, 198, 165, 676, 433

1. What is the LCM of 258, 305, 604, 461, 112?

Answer: LCM of 258, 305, 604, 461, 112 is 306750617040.

2. How to calculate the LCM of 258, 305, 604, 461, 112?

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, 305, 604, 461, 112.

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}.