Given numbers are 460,828,878,156,966

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

The LCM of 460,828,878,156,966 is 165388860.

Find LCM of 460,828,878,156,966 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 3 x 439 x 13 x 7 = 165388860

Therefore, the lowest common multiple of 460,828,878,156,966 is 165388860.

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 828 x 878 x 156 x 966 = 50394647197440

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

878 : 1, 2, 439, 878

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,828,878,156,966, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

828:2x 2x 3x 3x 23

878:2x 439

156:2x 2x 3x 13

966:2x 3x 7x 23

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 3x 3x 23x 23 = 152352

Therefore, the value for common factors is 152352.

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 = 50394647197440/(2x152352)

LCM = 50394647197440/304704

LCM = 165388860

Thus, we can understand that the LCM of 460,828,878,156,966 is 165388860.

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

• LCM of 460, 341, 284, 528, 951
• LCM of 518, 678, 538, 239, 428
• LCM of 146, 289, 961, 855, 195
• LCM of 674, 139, 525, 534, 686
• LCM of 266, 942, 854, 739, 526

1. What is the LCM of 460, 828, 878, 156, 966?

Answer: LCM of 460, 828, 878, 156, 966 is 165388860.

2. How to calculate the LCM of 460, 828, 878, 156, 966?

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, 828, 878, 156, 966.

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}.