Given numbers are 728,872,596,978

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

The LCM of 728,872,596,978 is 5781666072.

Find LCM of 728,872,596,978 with Prime Factorization

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

2 x 2 x 2 x 91 x 109 x 149 x 489 = 5781666072

Therefore, the lowest common multiple of 728,872,596,978 is 5781666072.

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 872 x 596 x 978 = 370026628608

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

596 : 1, 2, 4, 149, 298, 596

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,872,596,978, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

872:2x 2x 2x 109

596:2x 2x 149

978:2x 3x 163

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 370026628608/(2x32)

LCM = 370026628608/64

LCM = 5781666072

Thus, we can understand that the LCM of 728,872,596,978 is 5781666072.

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

• LCM of 605, 236, 729, 275
• LCM of 186, 599, 585, 155
• LCM of 576, 983, 515, 624
• LCM of 706, 626, 726, 362
• LCM of 477, 944, 276, 839

1. What is the LCM of 728, 872, 596, 978?

Answer: LCM of 728, 872, 596, 978 is 5781666072.

2. How to calculate the LCM of 728, 872, 596, 978?

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, 872, 596, 978.

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}.