Given numbers are 460,816,752,311

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

The LCM of 460,816,752,311 is 1371659280.

Find LCM of 460,816,752,311 with Prime Factorization

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

2 x 2 x 2 x 2 x 115 x 51 x 47 x 311 = 1371659280

Therefore, the lowest common multiple of 460,816,752,311 is 1371659280.

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.

460 x 816 x 752 x 311 = 87786193920

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,816,752,311, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

816:2x 2x 2x 2x 3x 17

752:2x 2x 2x 2x 47

311:311

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 2 = 64

Therefore, the value for common factors is 64.

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 = 87786193920/(1x64)

LCM = 87786193920/64

LCM = 1371659280

Thus, we can understand that the LCM of 460,816,752,311 is 1371659280.

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

• LCM of 689, 286, 186, 658
• LCM of 530, 624, 110, 581
• LCM of 235, 262, 934, 966
• LCM of 650, 791, 688, 744
• LCM of 208, 556, 367, 934

1. What is the LCM of 460, 816, 752, 311?

Answer: LCM of 460, 816, 752, 311 is 1371659280.

2. How to calculate the LCM of 460, 816, 752, 311?

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 460, 816, 752, 311.

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}.