Given numbers are 362,362,413

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

The LCM of 362,362,413 is 149506.

Find LCM of 362,362,413 with Prime Factorization

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

2 x 181 x 1 x 1 x 413 = 149506

Therefore, the lowest common multiple of 362,362,413 is 149506.

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.

362 x 362 x 413 = 54121172

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.

362 : 1, 2, 181, 362

362 : 1, 2, 181, 362

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,362,413, is 1.

Now, the common factors can be found like this.

362:2x 181

362:2x 181

413:7x 59

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

2x 181 = 362

Therefore, the value for common factors is 362.

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 = 54121172/(1x362)

LCM = 54121172/362

LCM = 149506

Thus, we can understand that the LCM of 362,362,413 is 149506.

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

• LCM of 741, 471, 132
• LCM of 501, 911, 731
• LCM of 544, 719, 307
• LCM of 819, 827, 993
• LCM of 809, 679, 149

1. What is the LCM of 362, 362, 413?

Answer: LCM of 362, 362, 413 is 149506.

2. How to calculate the LCM of 362, 362, 413?

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 362, 362, 413.

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}.