Given numbers are 369,552,282,994,176

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

The LCM of 369,552,282,994,176 is 34891618608.

Find LCM of 369,552,282,994,176 with Prime Factorization

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

2 x 2 x 2 x 3 x 123 x 23 x 47 x 497 x 22 = 34891618608

Therefore, the lowest common multiple of 369,552,282,994,176 is 34891618608.

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.

369 x 552 x 282 x 994 x 176 = 10048786159104

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.

369 : 1, 3, 9, 41, 123, 369

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

282 : 1, 2, 3, 6, 47, 94, 141, 282

994 : 1, 2, 7, 14, 71, 142, 497, 994

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,552,282,994,176, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

552:2x 2x 2x 3x 23

282:2x 3x 47

994:2x 7x 71

176:2x 2x 2x 2x 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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 10048786159104/(1x288)

LCM = 10048786159104/288

LCM = 34891618608

Thus, we can understand that the LCM of 369,552,282,994,176 is 34891618608.

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

• LCM of 997, 386, 101, 355, 805
• LCM of 291, 411, 563, 249, 540
• LCM of 467, 393, 995, 613, 625
• LCM of 633, 322, 539, 209, 145
• LCM of 218, 311, 806, 461, 972

1. What is the LCM of 369, 552, 282, 994, 176?

Answer: LCM of 369, 552, 282, 994, 176 is 34891618608.

2. How to calculate the LCM of 369, 552, 282, 994, 176?

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 369, 552, 282, 994, 176.

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}.