Given numbers are 366,135,252,379,960

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

The LCM of 366,135,252,379,960 is 1398237120.

Find LCM of 366,135,252,379,960 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 61 x 3 x 7 x 379 x 16 = 1398237120

Therefore, the lowest common multiple of 366,135,252,379,960 is 1398237120.

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.

366 x 135 x 252 x 379 x 960 = 4530288268800

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

135 : 1, 3, 5, 9, 15, 27, 45, 135

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

379 : 1, 379

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,135,252,379,960, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

135:3x 3x 3x 5

252:2x 2x 3x 3x 7

379:379

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 4530288268800/(1x3240)

LCM = 4530288268800/3240

LCM = 1398237120

Thus, we can understand that the LCM of 366,135,252,379,960 is 1398237120.

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

• LCM of 262, 219, 786, 494, 617
• LCM of 267, 316, 720, 768, 376
• LCM of 706, 381, 814, 849, 894
• LCM of 511, 663, 297, 651, 291
• LCM of 794, 209, 756, 637, 615

1. What is the LCM of 366, 135, 252, 379, 960?

Answer: LCM of 366, 135, 252, 379, 960 is 1398237120.

2. How to calculate the LCM of 366, 135, 252, 379, 960?

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 366, 135, 252, 379, 960.

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}.