Given numbers are 728,440,742,506

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

The LCM of 728,440,742,506 is 48808760.

Find LCM of 728,440,742,506 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 13 x 5 x 53 x 23 = 48808760

Therefore, the lowest common multiple of 728,440,742,506 is 48808760.

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.

728 x 440 x 742 x 506 = 120264784640

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,440,742,506, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

440:2x 2x 2x 5x 11

742:2x 7x 53

506:2x 11x 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 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 120264784640/(2x1232)

LCM = 120264784640/2464

LCM = 48808760

Thus, we can understand that the LCM of 728,440,742,506 is 48808760.

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

• LCM of 968, 574, 770, 749
• LCM of 216, 284, 995, 488
• LCM of 773, 977, 891, 404
• LCM of 120, 620, 345, 769
• LCM of 825, 285, 160, 492

1. What is the LCM of 728, 440, 742, 506?

Answer: LCM of 728, 440, 742, 506 is 48808760.

2. How to calculate the LCM of 728, 440, 742, 506?

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 728, 440, 742, 506.

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}.