Given numbers are 730,760,240,580

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

The LCM of 730,760,240,580 is 9653520.

Find LCM of 730,760,240,580 with Prime Factorization

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

2 x 2 x 2 x 5 x 73 x 19 x 6 x 29 = 9653520

Therefore, the lowest common multiple of 730,760,240,580 is 9653520.

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 760 x 240 x 580 = 77228160000

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,760,240,580, is 10.

Now, the common factors can be found like this.

730:2x 5x 73

760:2x 2x 2x 5x 19

240:2x 2x 2x 2x 3x 5

580:2x 2x 5x 29

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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 77228160000/(10x800)

LCM = 77228160000/8000

LCM = 9653520

Thus, we can understand that the LCM of 730,760,240,580 is 9653520.

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

• LCM of 323, 468, 515, 607
• LCM of 830, 493, 667, 988
• LCM of 452, 174, 500, 613
• LCM of 541, 507, 475, 769
• LCM of 507, 580, 929, 156

1. What is the LCM of 730, 760, 240, 580?

Answer: LCM of 730, 760, 240, 580 is 9653520.

2. How to calculate the LCM of 730, 760, 240, 580?

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, 760, 240, 580.

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}.