Given numbers are 156,772,560,852,414

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

The LCM of 156,772,560,852,414 is 20649872880.

Find LCM of 156,772,560,852,414 with Prime Factorization

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

2 x 2 x 3 x 13 x 193 x 140 x 71 x 69 = 20649872880

Therefore, the lowest common multiple of 156,772,560,852,414 is 20649872880.

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.

156 x 772 x 560 x 852 x 414 = 23788653557760

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.

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

772 : 1, 2, 4, 193, 386, 772

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,772,560,852,414, is 2.

Now, the common factors can be found like this.

156:2x 2x 3x 13

772:2x 2x 193

560:2x 2x 2x 2x 5x 7

852:2x 2x 3x 71

414:2x 3x 3x 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 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 = 23788653557760/(2x576)

LCM = 23788653557760/1152

LCM = 20649872880

Thus, we can understand that the LCM of 156,772,560,852,414 is 20649872880.

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

• LCM of 288, 159, 290, 587, 970
• LCM of 935, 730, 212, 484, 954
• LCM of 716, 441, 185, 883, 957
• LCM of 764, 183, 856, 480, 628
• LCM of 816, 162, 767, 114, 557

1. What is the LCM of 156, 772, 560, 852, 414?

Answer: LCM of 156, 772, 560, 852, 414 is 20649872880.

2. How to calculate the LCM of 156, 772, 560, 852, 414?

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 156, 772, 560, 852, 414.

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}.