Given numbers are 728,936,136,561,177

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

The LCM of 728,936,136,561,177 is 72288216.

Find LCM of 728,936,136,561,177 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 17 x 7 x 3 x 1 x 11 x 59 = 72288216

Therefore, the lowest common multiple of 728,936,136,561,177 is 72288216.

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 936 x 136 x 561 x 177 = 9202000743936

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

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

561 : 1, 3, 11, 17, 33, 51, 187, 561

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,936,136,561,177, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

936:2x 2x 2x 3x 3x 13

136:2x 2x 2x 17

561:3x 11x 17

177:3x 59

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 3x 13x 17 = 127296

Therefore, the value for common factors is 127296.

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 = 9202000743936/(1x127296)

LCM = 9202000743936/127296

LCM = 72288216

Thus, we can understand that the LCM of 728,936,136,561,177 is 72288216.

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

• LCM of 296, 455, 202, 206, 244
• LCM of 303, 882, 453, 105, 468
• LCM of 137, 296, 457, 418, 430
• LCM of 834, 943, 342, 409, 490
• LCM of 425, 216, 927, 400, 804

1. What is the LCM of 728, 936, 136, 561, 177?

Answer: LCM of 728, 936, 136, 561, 177 is 72288216.

2. How to calculate the LCM of 728, 936, 136, 561, 177?

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, 936, 136, 561, 177.

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}.