Given numbers are 730,540,810,345,403

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

The LCM of 730,540,810,345,403 is 1096151940.

Find LCM of 730,540,810,345,403 with Prime Factorization

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

2 x 3 x 3 x 3 x 5 x 73 x 2 x 3 x 23 x 403 = 1096151940

Therefore, the lowest common multiple of 730,540,810,345,403 is 1096151940.

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.

730 x 540 x 810 x 345 x 403 = 44394153570000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,540,810,345,403, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

540:2x 2x 3x 3x 3x 5

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

345:3x 5x 23

403:13x 31

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 3x 3x 3x 3x 5x 5x 5 = 40500

Therefore, the value for common factors is 40500.

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 = 44394153570000/(1x40500)

LCM = 44394153570000/40500

LCM = 1096151940

Thus, we can understand that the LCM of 730,540,810,345,403 is 1096151940.

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

• LCM of 790, 188, 131, 208, 586
• LCM of 885, 332, 317, 270, 886
• LCM of 572, 346, 175, 529, 154
• LCM of 244, 753, 525, 341, 660
• LCM of 560, 560, 451, 622, 196

1. What is the LCM of 730, 540, 810, 345, 403?

Answer: LCM of 730, 540, 810, 345, 403 is 1096151940.

2. How to calculate the LCM of 730, 540, 810, 345, 403?

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 730, 540, 810, 345, 403.

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}.