Given numbers are 728,756,415,847

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

The LCM of 728,756,415,847 is 987026040.

Find LCM of 728,756,415,847 with Prime Factorization

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

2 x 2 x 7 x 26 x 27 x 415 x 121 = 987026040

Therefore, the lowest common multiple of 728,756,415,847 is 987026040.

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.

728 x 756 x 415 x 847 = 193457103840

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.

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

415 : 1, 5, 83, 415

847 : 1, 7, 11, 77, 121, 847

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,756,415,847, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

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

415:5x 83

847:7x 11x 11

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 193457103840/(1x196)

LCM = 193457103840/196

LCM = 987026040

Thus, we can understand that the LCM of 728,756,415,847 is 987026040.

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

• LCM of 314, 230, 315, 500
• LCM of 288, 566, 789, 961
• LCM of 877, 535, 698, 609
• LCM of 639, 477, 350, 339
• LCM of 551, 248, 811, 969

1. What is the LCM of 728, 756, 415, 847?

Answer: LCM of 728, 756, 415, 847 is 987026040.

2. How to calculate the LCM of 728, 756, 415, 847?

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 728, 756, 415, 847.

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}.