Given numbers are 728,756,926,862

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

The LCM of 728,756,926,862 is 3922413768.

Find LCM of 728,756,926,862 with Prime Factorization

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

2 x 2 x 7 x 26 x 27 x 463 x 431 = 3922413768

Therefore, the lowest common multiple of 728,756,926,862 is 3922413768.

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 926 x 862 = 439310342016

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

926 : 1, 2, 463, 926

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,756,926,862, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

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

926:2x 463

862:2x 431

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 = 439310342016/(2x56)

LCM = 439310342016/112

LCM = 3922413768

Thus, we can understand that the LCM of 728,756,926,862 is 3922413768.

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

• LCM of 189, 908, 385, 285
• LCM of 846, 795, 379, 832
• LCM of 924, 809, 854, 610
• LCM of 136, 588, 460, 283
• LCM of 540, 850, 134, 435

1. What is the LCM of 728, 756, 926, 862?

Answer: LCM of 728, 756, 926, 862 is 3922413768.

2. How to calculate the LCM of 728, 756, 926, 862?

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, 926, 862.

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}.