Given numbers are 824,413,414

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

The LCM of 824,413,414 is 70444584.

Find LCM of 824,413,414 with Prime Factorization

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

2 x 412 x 413 x 207 = 70444584

Therefore, the lowest common multiple of 824,413,414 is 70444584.

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.

824 x 413 x 414 = 140889168

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

413 : 1, 7, 59, 413

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,413,414, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

413:7x 59

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 140889168/(1x2)

LCM = 140889168/2

LCM = 70444584

Thus, we can understand that the LCM of 824,413,414 is 70444584.

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

• LCM of 643, 569, 367
• LCM of 353, 348, 915
• LCM of 472, 429, 372
• LCM of 640, 878, 511
• LCM of 772, 329, 211

1. What is the LCM of 824, 413, 414?

Answer: LCM of 824, 413, 414 is 70444584.

2. How to calculate the LCM of 824, 413, 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 824, 413, 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}.