Given numbers are 484,523,674,742

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

The LCM of 484,523,674,742 is 31648334564.

Find LCM of 484,523,674,742 with Prime Factorization

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

2 x 242 x 523 x 337 x 371 = 31648334564

Therefore, the lowest common multiple of 484,523,674,742 is 31648334564.

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.

484 x 523 x 674 x 742 = 126593338256

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

523 : 1, 523

674 : 1, 2, 337, 674

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 484,523,674,742, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

523:523

674:2x 337

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 2 = 4

Therefore, the value for common factors is 4.

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 = 126593338256/(1x4)

LCM = 126593338256/4

LCM = 31648334564

Thus, we can understand that the LCM of 484,523,674,742 is 31648334564.

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

• LCM of 837, 741, 118, 433
• LCM of 872, 139, 657, 416
• LCM of 390, 315, 152, 403
• LCM of 824, 214, 392, 428
• LCM of 899, 465, 209, 962

1. What is the LCM of 484, 523, 674, 742?

Answer: LCM of 484, 523, 674, 742 is 31648334564.

2. How to calculate the LCM of 484, 523, 674, 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 484, 523, 674, 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}.