Given numbers are 248,629,214,106,742

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

The LCM of 248,629,214,106,742 is 6192414424.

Find LCM of 248,629,214,106,742 with Prime Factorization

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

2 x 53 x 124 x 629 x 107 x 1 x 7 = 6192414424

Therefore, the lowest common multiple of 248,629,214,106,742 is 6192414424.

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.

248 x 629 x 214 x 106 x 742 = 2625583715776

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

629 : 1, 17, 37, 629

214 : 1, 2, 107, 214

106 : 1, 2, 53, 106

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 248,629,214,106,742, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

629:17x 37

214:2x 107

106:2x 53

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 53 = 424

Therefore, the value for common factors is 424.

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 = 2625583715776/(1x424)

LCM = 2625583715776/424

LCM = 6192414424

Thus, we can understand that the LCM of 248,629,214,106,742 is 6192414424.

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

• LCM of 669, 169, 807, 757, 302
• LCM of 280, 945, 541, 808, 581
• LCM of 444, 493, 236, 108, 810
• LCM of 224, 179, 629, 755, 530
• LCM of 341, 194, 634, 131, 531

1. What is the LCM of 248, 629, 214, 106, 742?

Answer: LCM of 248, 629, 214, 106, 742 is 6192414424.

2. How to calculate the LCM of 248, 629, 214, 106, 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 248, 629, 214, 106, 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}.