Given numbers are 813,900,941,667,871

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

The LCM of 813,900,941,667,871 is 133335382974300.

Find LCM of 813,900,941,667,871 with Prime Factorization

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

3 x 271 x 300 x 941 x 667 x 871 = 133335382974300

Therefore, the lowest common multiple of 813,900,941,667,871 is 133335382974300.

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.

813 x 900 x 941 x 667 x 871 = 400006148922900

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.

813 : 1, 3, 271, 813

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

941 : 1, 941

667 : 1, 23, 29, 667

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,900,941,667,871, is 1.

Now, the common factors can be found like this.

813:3x 271

900:2x 2x 3x 3x 5x 5

941:941

667:23x 29

871:13x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 400006148922900/(1x3)

LCM = 400006148922900/3

LCM = 133335382974300

Thus, we can understand that the LCM of 813,900,941,667,871 is 133335382974300.

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

• LCM of 807, 849, 900, 664, 159
• LCM of 716, 667, 574, 557, 450
• LCM of 802, 239, 359, 305, 135
• LCM of 481, 637, 931, 177, 839
• LCM of 654, 945, 509, 931, 172

1. What is the LCM of 813, 900, 941, 667, 871?

Answer: LCM of 813, 900, 941, 667, 871 is 133335382974300.

2. How to calculate the LCM of 813, 900, 941, 667, 871?

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 813, 900, 941, 667, 871.

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}.