Given numbers are 201,311,552,704

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

The LCM of 201,311,552,704 is 1012178112.

Find LCM of 201,311,552,704 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 311 x 23 x 88 = 1012178112

Therefore, the lowest common multiple of 201,311,552,704 is 1012178112.

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.

201 x 311 x 552 x 704 = 24292274688

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.

201 : 1, 3, 67, 201

311 : 1, 311

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,311,552,704, is 1.

Now, the common factors can be found like this.

201:3x 67

311:311

552:2x 2x 2x 3x 23

704:2x 2x 2x 2x 2x 2x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 24292274688/(1x24)

LCM = 24292274688/24

LCM = 1012178112

Thus, we can understand that the LCM of 201,311,552,704 is 1012178112.

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

• LCM of 160, 935, 492, 587
• LCM of 268, 713, 482, 895
• LCM of 734, 198, 450, 852
• LCM of 802, 277, 187, 464
• LCM of 648, 734, 482, 916

1. What is the LCM of 201, 311, 552, 704?

Answer: LCM of 201, 311, 552, 704 is 1012178112.

2. How to calculate the LCM of 201, 311, 552, 704?

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 201, 311, 552, 704.

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}.