Given numbers are 370,258,793,240,742

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

The LCM of 370,258,793,240,742 is 112338473520.

Find LCM of 370,258,793,240,742 with Prime Factorization

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

2 x 3 x 5 x 37 x 43 x 793 x 8 x 371 = 112338473520

Therefore, the lowest common multiple of 370,258,793,240,742 is 112338473520.

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.

370 x 258 x 793 x 240 x 742 = 13480616822400

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

793 : 1, 13, 61, 793

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,258,793,240,742, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

258:2x 3x 43

793:13x 61

240:2x 2x 2x 2x 3x 5

742:2x 7x 53

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 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 13480616822400/(1x120)

LCM = 13480616822400/120

LCM = 112338473520

Thus, we can understand that the LCM of 370,258,793,240,742 is 112338473520.

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

• LCM of 256, 427, 909, 101, 372
• LCM of 443, 378, 935, 965, 682
• LCM of 867, 791, 644, 850, 815
• LCM of 706, 311, 217, 265, 504
• LCM of 944, 688, 287, 685, 547

1. What is the LCM of 370, 258, 793, 240, 742?

Answer: LCM of 370, 258, 793, 240, 742 is 112338473520.

2. How to calculate the LCM of 370, 258, 793, 240, 742?

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 370, 258, 793, 240, 742.

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}.