Given numbers are 574,756,793,728

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

The LCM of 574,756,793,728 is 49159656.

Find LCM of 574,756,793,728 with Prime Factorization

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

2 x 2 x 7 x 13 x 41 x 27 x 61 x 2 = 49159656

Therefore, the lowest common multiple of 574,756,793,728 is 49159656.

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.

574 x 756 x 793 x 728 = 250517606976

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

793 : 1, 13, 61, 793

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 574,756,793,728, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

756:2x 2x 3x 3x 3x 7

793:13x 61

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 7x 13 = 5096

Therefore, the value for common factors is 5096.

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 = 250517606976/(1x5096)

LCM = 250517606976/5096

LCM = 49159656

Thus, we can understand that the LCM of 574,756,793,728 is 49159656.

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

• LCM of 662, 109, 254, 863
• LCM of 986, 656, 102, 935
• LCM of 384, 270, 185, 482
• LCM of 607, 851, 606, 648
• LCM of 406, 770, 124, 874

1. What is the LCM of 574, 756, 793, 728?

Answer: LCM of 574, 756, 793, 728 is 49159656.

2. How to calculate the LCM of 574, 756, 793, 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 574, 756, 793, 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}.