Given numbers are 722,786,420,810,150

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

The LCM of 722,786,420,810,150 is 2681399700.

Find LCM of 722,786,420,810,150 with Prime Factorization

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

2 x 3 x 5 x 361 x 131 x 14 x 27 x 5 = 2681399700

Therefore, the lowest common multiple of 722,786,420,810,150 is 2681399700.

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.

722 x 786 x 420 x 810 x 150 = 28959116760000

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.

722 : 1, 2, 19, 38, 361, 722

786 : 1, 2, 3, 6, 131, 262, 393, 786

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,786,420,810,150, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

786:2x 3x 131

420:2x 2x 3x 5x 7

810:2x 3x 3x 3x 3x 5

150:2x 3x 5x 5

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 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 28959116760000/(2x5400)

LCM = 28959116760000/10800

LCM = 2681399700

Thus, we can understand that the LCM of 722,786,420,810,150 is 2681399700.

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

• LCM of 960, 798, 531, 167, 845
• LCM of 941, 581, 406, 856, 184
• LCM of 490, 228, 227, 196, 676
• LCM of 809, 612, 558, 754, 622
• LCM of 541, 639, 794, 465, 380

1. What is the LCM of 722, 786, 420, 810, 150?

Answer: LCM of 722, 786, 420, 810, 150 is 2681399700.

2. How to calculate the LCM of 722, 786, 420, 810, 150?

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 722, 786, 420, 810, 150.

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}.