Given numbers are 921,414,408,402

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

The LCM of 921,414,408,402 is 579058488.

Find LCM of 921,414,408,402 with Prime Factorization

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

2 x 3 x 307 x 69 x 68 x 67 = 579058488

Therefore, the lowest common multiple of 921,414,408,402 is 579058488.

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.

921 x 414 x 408 x 402 = 62538316704

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.

921 : 1, 3, 307, 921

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

402 : 1, 2, 3, 6, 67, 134, 201, 402

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,414,408,402, is 3.

Now, the common factors can be found like this.

921:3x 307

414:2x 3x 3x 23

408:2x 2x 2x 3x 17

402:2x 3x 67

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 62538316704/(3x36)

LCM = 62538316704/108

LCM = 579058488

Thus, we can understand that the LCM of 921,414,408,402 is 579058488.

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

• LCM of 822, 186, 190, 395
• LCM of 200, 244, 671, 286
• LCM of 417, 597, 502, 329
• LCM of 381, 317, 159, 490
• LCM of 755, 871, 121, 506

1. What is the LCM of 921, 414, 408, 402?

Answer: LCM of 921, 414, 408, 402 is 579058488.

2. How to calculate the LCM of 921, 414, 408, 402?

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 921, 414, 408, 402.

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}.