Given numbers are 748,106,331,638,493

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

The LCM of 748,106,331,638,493 is 380542756.

Find LCM of 748,106,331,638,493 with Prime Factorization

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

2 x 11 x 17 x 29 x 2 x 53 x 331 x 1 x 1 = 380542756

Therefore, the lowest common multiple of 748,106,331,638,493 is 380542756.

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.

748 x 106 x 331 x 638 x 493 = 8254733463152

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

106 : 1, 2, 53, 106

331 : 1, 331

638 : 1, 2, 11, 22, 29, 58, 319, 638

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,106,331,638,493, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

106:2x 53

331:331

638:2x 11x 29

493:17x 29

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 11x 17x 29 = 21692

Therefore, the value for common factors is 21692.

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 = 8254733463152/(1x21692)

LCM = 8254733463152/21692

LCM = 380542756

Thus, we can understand that the LCM of 748,106,331,638,493 is 380542756.

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

• LCM of 374, 804, 246, 636, 468
• LCM of 616, 494, 447, 813, 372
• LCM of 715, 909, 705, 126, 583
• LCM of 152, 293, 297, 788, 164
• LCM of 479, 745, 969, 578, 142

1. What is the LCM of 748, 106, 331, 638, 493?

Answer: LCM of 748, 106, 331, 638, 493 is 380542756.

2. How to calculate the LCM of 748, 106, 331, 638, 493?

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 748, 106, 331, 638, 493.

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}.