Given numbers are 726,792,173,201,363

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

The LCM of 726,792,173,201,363 is 100980792.

Find LCM of 726,792,173,201,363 with Prime Factorization

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

2 x 3 x 11 x 11 x 1 x 12 x 173 x 67 x 1 = 100980792

Therefore, the lowest common multiple of 726,792,173,201,363 is 100980792.

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.

726 x 792 x 173 x 201 x 363 = 7257893444208

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

173 : 1, 173

201 : 1, 3, 67, 201

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,792,173,201,363, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

792:2x 2x 2x 3x 3x 11

173:173

201:3x 67

363:3x 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 3x 3x 3x 11x 11x 11 = 71874

Therefore, the value for common factors is 71874.

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 = 7257893444208/(1x71874)

LCM = 7257893444208/71874

LCM = 100980792

Thus, we can understand that the LCM of 726,792,173,201,363 is 100980792.

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

• LCM of 146, 491, 322, 539, 764
• LCM of 955, 105, 955, 426, 538
• LCM of 314, 222, 532, 185, 153
• LCM of 653, 763, 131, 161, 471
• LCM of 575, 921, 674, 859, 383

1. What is the LCM of 726, 792, 173, 201, 363?

Answer: LCM of 726, 792, 173, 201, 363 is 100980792.

2. How to calculate the LCM of 726, 792, 173, 201, 363?

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 726, 792, 173, 201, 363.

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}.