Given numbers are 626,466,742,217,266

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

The LCM of 626,466,742,217,266 is 31872744302.

Find LCM of 626,466,742,217,266 with Prime Factorization

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

2 x 7 x 313 x 233 x 53 x 31 x 19 = 31872744302

Therefore, the lowest common multiple of 626,466,742,217,266 is 31872744302.

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.

626 x 466 x 742 x 217 x 266 = 12494115766384

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.

626 : 1, 2, 313, 626

466 : 1, 2, 233, 466

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

217 : 1, 7, 31, 217

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,466,742,217,266, is 1.

Now, the common factors can be found like this.

626:2x 313

466:2x 233

742:2x 7x 53

217:7x 31

266:2x 7x 19

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 12494115766384/(1x392)

LCM = 12494115766384/392

LCM = 31872744302

Thus, we can understand that the LCM of 626,466,742,217,266 is 31872744302.

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

• LCM of 360, 882, 717, 988, 445
• LCM of 290, 443, 125, 540, 130
• LCM of 828, 855, 346, 473, 493
• LCM of 419, 657, 581, 439, 792
• LCM of 387, 567, 411, 308, 827

1. What is the LCM of 626, 466, 742, 217, 266?

Answer: LCM of 626, 466, 742, 217, 266 is 31872744302.

2. How to calculate the LCM of 626, 466, 742, 217, 266?

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 626, 466, 742, 217, 266.

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}.