Given numbers are 171,369,398,504,228

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

The LCM of 171,369,398,504,228 is 78130584.

Find LCM of 171,369,398,504,228 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 1 x 41 x 199 x 14 x 1 = 78130584

Therefore, the lowest common multiple of 171,369,398,504,228 is 78130584.

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.

171 x 369 x 398 x 504 x 228 = 2885831250624

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.

171 : 1, 3, 9, 19, 57, 171

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

398 : 1, 2, 199, 398

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,369,398,504,228, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

369:3x 3x 41

398:2x 199

504:2x 2x 2x 3x 3x 7

228:2x 2x 3x 19

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 3x 19 = 36936

Therefore, the value for common factors is 36936.

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 = 2885831250624/(1x36936)

LCM = 2885831250624/36936

LCM = 78130584

Thus, we can understand that the LCM of 171,369,398,504,228 is 78130584.

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

• LCM of 860, 936, 126, 481, 936
• LCM of 181, 756, 272, 309, 751
• LCM of 390, 447, 462, 608, 602
• LCM of 976, 363, 563, 530, 942
• LCM of 480, 294, 852, 247, 370

1. What is the LCM of 171, 369, 398, 504, 228?

Answer: LCM of 171, 369, 398, 504, 228 is 78130584.

2. How to calculate the LCM of 171, 369, 398, 504, 228?

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 171, 369, 398, 504, 228.

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}.