Given numbers are 69,45,69,813

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

The LCM of 69,45,69,813 is 280485.

Find LCM of 69,45,69,813 with Prime Factorization

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

3 x 23 x 1 x 15 x 1 x 271 = 280485

Therefore, the lowest common multiple of 69,45,69,813 is 280485.

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.

69 x 45 x 69 x 813 = 174181185

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.

69 : 1, 3, 23, 69

45 : 1, 3, 5, 9, 15, 45

69 : 1, 3, 23, 69

813 : 1, 3, 271, 813

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 69,45,69,813, is 3.

Now, the common factors can be found like this.

69:3x 23

45:3x 3x 5

69:3x 23

813:3x 271

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 174181185/(3x207)

LCM = 174181185/621

LCM = 280485

Thus, we can understand that the LCM of 69,45,69,813 is 280485.

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

• LCM of 94, 60, 27, 620
• LCM of 14, 56, 62, 556
• LCM of 33, 20, 96, 443
• LCM of 29, 28, 66, 590
• LCM of 13, 27, 62, 451

1. What is the LCM of 69, 45, 69, 813?

Answer: LCM of 69, 45, 69, 813 is 280485.

2. How to calculate the LCM of 69, 45, 69, 813?

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 69, 45, 69, 813.

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}.