Given numbers are 638,809,728,756

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

The LCM of 638,809,728,756 is 5072643576.

Find LCM of 638,809,728,756 with Prime Factorization

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

2 x 2 x 7 x 319 x 809 x 26 x 27 = 5072643576

Therefore, the lowest common multiple of 638,809,728,756 is 5072643576.

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.

638 x 809 x 728 x 756 = 284068040256

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

809 : 1, 809

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,809,728,756, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

809:809

728:2x 2x 2x 7x 13

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

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 7 = 56

Therefore, the value for common factors is 56.

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 = 284068040256/(1x56)

LCM = 284068040256/56

LCM = 5072643576

Thus, we can understand that the LCM of 638,809,728,756 is 5072643576.

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

• LCM of 661, 947, 954, 788
• LCM of 302, 102, 332, 470
• LCM of 568, 111, 364, 302
• LCM of 142, 122, 908, 392
• LCM of 867, 283, 803, 489

1. What is the LCM of 638, 809, 728, 756?

Answer: LCM of 638, 809, 728, 756 is 5072643576.

2. How to calculate the LCM of 638, 809, 728, 756?

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 638, 809, 728, 756.

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}.