Given numbers are 363,372,313,224,396

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

The LCM of 363,372,313,224,396 is 2366911008.

Find LCM of 363,372,313,224,396 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 31 x 313 x 56 x 3 = 2366911008

Therefore, the lowest common multiple of 363,372,313,224,396 is 2366911008.

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 372 x 313 x 224 x 396 = 3749187036672

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

313 : 1, 313

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,372,313,224,396, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

372:2x 2x 3x 31

313:313

224:2x 2x 2x 2x 2x 7

396:2x 2x 3x 3x 11

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 2x 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 3749187036672/(1x1584)

LCM = 3749187036672/1584

LCM = 2366911008

Thus, we can understand that the LCM of 363,372,313,224,396 is 2366911008.

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

• LCM of 980, 409, 559, 655, 332
• LCM of 559, 281, 454, 591, 532
• LCM of 595, 930, 481, 842, 497
• LCM of 251, 786, 786, 428, 626
• LCM of 359, 400, 931, 468, 444

1. What is the LCM of 363, 372, 313, 224, 396?

Answer: LCM of 363, 372, 313, 224, 396 is 2366911008.

2. How to calculate the LCM of 363, 372, 313, 224, 396?

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, 372, 313, 224, 396.

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}.