Given numbers are 729,733,469,730,584

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

The LCM of 729,733,469,730,584 is 731791224360.

Find LCM of 729,733,469,730,584 with Prime Factorization

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

2 x 73 x 729 x 733 x 469 x 5 x 4 = 731791224360

Therefore, the lowest common multiple of 729,733,469,730,584 is 731791224360.

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.

729 x 733 x 469 x 730 x 584 = 106841518756560

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.

729 : 1, 3, 9, 27, 81, 243, 729

733 : 1, 733

469 : 1, 7, 67, 469

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,733,469,730,584, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

733:733

469:7x 67

730:2x 5x 73

584:2x 2x 2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 106841518756560/(1x146)

LCM = 106841518756560/146

LCM = 731791224360

Thus, we can understand that the LCM of 729,733,469,730,584 is 731791224360.

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

• LCM of 233, 838, 622, 495, 613
• LCM of 653, 130, 483, 152, 172
• LCM of 973, 841, 586, 609, 937
• LCM of 616, 597, 106, 902, 453
• LCM of 619, 660, 120, 763, 874

1. What is the LCM of 729, 733, 469, 730, 584?

Answer: LCM of 729, 733, 469, 730, 584 is 731791224360.

2. How to calculate the LCM of 729, 733, 469, 730, 584?

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 729, 733, 469, 730, 584.

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}.