Given numbers are 743,213,394,413,424

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

The LCM of 743,213,394,413,424 is 5459470851576.

Find LCM of 743,213,394,413,424 with Prime Factorization

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

2 x 743 x 213 x 197 x 413 x 212 = 5459470851576

Therefore, the lowest common multiple of 743,213,394,413,424 is 5459470851576.

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.

743 x 213 x 394 x 413 x 424 = 10918941703152

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.

743 : 1, 743

213 : 1, 3, 71, 213

394 : 1, 2, 197, 394

413 : 1, 7, 59, 413

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,213,394,413,424, is 1.

Now, the common factors can be found like this.

743:743

213:3x 71

394:2x 197

413:7x 59

424:2x 2x 2x 53

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 = 10918941703152/(1x2)

LCM = 10918941703152/2

LCM = 5459470851576

Thus, we can understand that the LCM of 743,213,394,413,424 is 5459470851576.

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

• LCM of 680, 175, 556, 551, 561
• LCM of 108, 659, 108, 644, 106
• LCM of 262, 411, 553, 616, 871
• LCM of 831, 184, 515, 811, 707
• LCM of 845, 245, 998, 449, 899

1. What is the LCM of 743, 213, 394, 413, 424?

Answer: LCM of 743, 213, 394, 413, 424 is 5459470851576.

2. How to calculate the LCM of 743, 213, 394, 413, 424?

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 743, 213, 394, 413, 424.

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}.