Given numbers are 812,600,871,852,977

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

The LCM of 812,600,871,852,977 is 7358992422600.

Find LCM of 812,600,871,852,977 with Prime Factorization

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

2 x 2 x 3 x 203 x 50 x 871 x 71 x 977 = 7358992422600

Therefore, the lowest common multiple of 812,600,871,852,977 is 7358992422600.

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.

812 x 600 x 871 x 852 x 977 = 353231636284800

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

871 : 1, 13, 67, 871

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

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,600,871,852,977, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

600:2x 2x 2x 3x 5x 5

871:13x 67

852:2x 2x 3x 71

977:977

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 3 = 48

Therefore, the value for common factors is 48.

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 = 353231636284800/(1x48)

LCM = 353231636284800/48

LCM = 7358992422600

Thus, we can understand that the LCM of 812,600,871,852,977 is 7358992422600.

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

• LCM of 627, 455, 468, 827, 809
• LCM of 304, 400, 346, 480, 867
• LCM of 661, 599, 498, 311, 242
• LCM of 744, 404, 744, 335, 596
• LCM of 646, 324, 300, 144, 903

1. What is the LCM of 812, 600, 871, 852, 977?

Answer: LCM of 812, 600, 871, 852, 977 is 7358992422600.

2. How to calculate the LCM of 812, 600, 871, 852, 977?

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 812, 600, 871, 852, 977.

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}.