Given numbers are 728,566,888,936

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

The LCM of 728,566,888,936 is 68605992.

Find LCM of 728,566,888,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 7 x 283 x 37 x 3 = 68605992

Therefore, the lowest common multiple of 728,566,888,936 is 68605992.

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 566 x 888 x 936 = 342481112064

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

566 : 1, 2, 283, 566

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,566,888,936, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

566:2x 283

888:2x 2x 2x 3x 37

936:2x 2x 2x 3x 3x 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 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 342481112064/(2x2496)

LCM = 342481112064/4992

LCM = 68605992

Thus, we can understand that the LCM of 728,566,888,936 is 68605992.

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

• LCM of 969, 983, 175, 893
• LCM of 801, 783, 147, 384
• LCM of 974, 252, 609, 383
• LCM of 338, 610, 440, 885
• LCM of 983, 198, 250, 886

1. What is the LCM of 728, 566, 888, 936?

Answer: LCM of 728, 566, 888, 936 is 68605992.

2. How to calculate the LCM of 728, 566, 888, 936?

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, 566, 888, 936.

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}.