Given numbers are 748,728,442,909,621

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

The LCM of 748,728,442,909,621 is 8538586056.

Find LCM of 748,728,442,909,621 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 17 x 11 x 14 x 1 x 101 x 69 = 8538586056

Therefore, the lowest common multiple of 748,728,442,909,621 is 8538586056.

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 728 x 442 x 909 x 621 = 135865981323072

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

442 : 1, 2, 13, 17, 26, 34, 221, 442

909 : 1, 3, 9, 101, 303, 909

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,728,442,909,621, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

728:2x 2x 2x 7x 13

442:2x 13x 17

909:3x 3x 101

621:3x 3x 3x 23

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 3x 13x 17 = 15912

Therefore, the value for common factors is 15912.

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 = 135865981323072/(1x15912)

LCM = 135865981323072/15912

LCM = 8538586056

Thus, we can understand that the LCM of 748,728,442,909,621 is 8538586056.

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

• LCM of 460, 191, 849, 191, 525
• LCM of 332, 904, 159, 764, 624
• LCM of 555, 961, 982, 680, 372
• LCM of 882, 267, 773, 653, 628
• LCM of 178, 557, 170, 202, 875

1. What is the LCM of 748, 728, 442, 909, 621?

Answer: LCM of 748, 728, 442, 909, 621 is 8538586056.

2. How to calculate the LCM of 748, 728, 442, 909, 621?

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, 728, 442, 909, 621.

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}.