Given numbers are 363,288,379

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

The LCM of 363,288,379 is 13207392.

Find LCM of 363,288,379 with Prime Factorization

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

3 x 121 x 96 x 379 = 13207392

Therefore, the lowest common multiple of 363,288,379 is 13207392.

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.

363 x 288 x 379 = 39622176

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.

363 : 1, 3, 11, 33, 121, 363

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,288,379, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

288:2x 2x 2x 2x 2x 3x 3

379:379

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

3 = 3

Therefore, the value for common factors is 3.

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 = 39622176/(1x3)

LCM = 39622176/3

LCM = 13207392

Thus, we can understand that the LCM of 363,288,379 is 13207392.

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

• LCM of 698, 405, 530
• LCM of 266, 814, 888
• LCM of 402, 584, 208
• LCM of 818, 988, 520
• LCM of 967, 489, 944

1. What is the LCM of 363, 288, 379?

Answer: LCM of 363, 288, 379 is 13207392.

2. How to calculate the LCM of 363, 288, 379?

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 363, 288, 379.

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}.