Given numbers are 730,546,562,509,728

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

The LCM of 730,546,562,509,728 is 114016997640.

Find LCM of 730,546,562,509,728 with Prime Factorization

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

2 x 7 x 13 x 365 x 3 x 281 x 509 x 4 = 114016997640

Therefore, the lowest common multiple of 730,546,562,509,728 is 114016997640.

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 546 x 562 x 509 x 728 = 83004374281920

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

562 : 1, 2, 281, 562

509 : 1, 509

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,546,562,509,728, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

546:2x 3x 7x 13

562:2x 281

509:509

728:2x 2x 2x 7x 13

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 83004374281920/(1x728)

LCM = 83004374281920/728

LCM = 114016997640

Thus, we can understand that the LCM of 730,546,562,509,728 is 114016997640.

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

• LCM of 497, 537, 414, 845, 594
• LCM of 297, 661, 960, 739, 625
• LCM of 945, 362, 194, 433, 913
• LCM of 593, 550, 746, 941, 207
• LCM of 344, 505, 127, 373, 534

1. What is the LCM of 730, 546, 562, 509, 728?

Answer: LCM of 730, 546, 562, 509, 728 is 114016997640.

2. How to calculate the LCM of 730, 546, 562, 509, 728?

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, 546, 562, 509, 728.

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}.