Given numbers are 728,968,576,339,201

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

The LCM of 728,968,576,339,201 is 48017825856.

Find LCM of 728,968,576,339,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 91 x 121 x 24 x 113 x 67 = 48017825856

Therefore, the lowest common multiple of 728,968,576,339,201 is 48017825856.

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 968 x 576 x 339 x 201 = 27658267693056

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

339 : 1, 3, 113, 339

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,968,576,339,201, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

968:2x 2x 2x 11x 11

576:2x 2x 2x 2x 2x 2x 3x 3

339:3x 113

201:3x 67

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 3 = 576

Therefore, the value for common factors is 576.

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 = 27658267693056/(1x576)

LCM = 27658267693056/576

LCM = 48017825856

Thus, we can understand that the LCM of 728,968,576,339,201 is 48017825856.

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

• LCM of 445, 169, 160, 380, 544
• LCM of 229, 573, 907, 606, 331
• LCM of 898, 392, 204, 747, 396
• LCM of 685, 981, 626, 742, 971
• LCM of 638, 997, 438, 951, 729

1. What is the LCM of 728, 968, 576, 339, 201?

Answer: LCM of 728, 968, 576, 339, 201 is 48017825856.

2. How to calculate the LCM of 728, 968, 576, 339, 201?

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, 968, 576, 339, 201.

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}.