Given numbers are 152,422,677,506,800

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

The LCM of 152,422,677,506,800 is 549332423200.

Find LCM of 152,422,677,506,800 with Prime Factorization

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

2 x 2 x 2 x 19 x 211 x 677 x 253 x 100 = 549332423200

Therefore, the lowest common multiple of 152,422,677,506,800 is 549332423200.

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.

152 x 422 x 677 x 506 x 800 = 17578637542400

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

422 : 1, 2, 211, 422

677 : 1, 677

506 : 1, 2, 11, 22, 23, 46, 253, 506

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,422,677,506,800, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

422:2x 211

677:677

506:2x 11x 23

800:2x 2x 2x 2x 2x 5x 5

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 2 = 32

Therefore, the value for common factors is 32.

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 = 17578637542400/(1x32)

LCM = 17578637542400/32

LCM = 549332423200

Thus, we can understand that the LCM of 152,422,677,506,800 is 549332423200.

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

• LCM of 332, 737, 501, 296, 786
• LCM of 290, 253, 217, 947, 361
• LCM of 328, 254, 547, 487, 339
• LCM of 157, 978, 867, 500, 317
• LCM of 817, 300, 806, 929, 126

1. What is the LCM of 152, 422, 677, 506, 800?

Answer: LCM of 152, 422, 677, 506, 800 is 549332423200.

2. How to calculate the LCM of 152, 422, 677, 506, 800?

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 152, 422, 677, 506, 800.

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}.