Given numbers are 228,984,504,591

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

The LCM of 228,984,504,591 is 77345352.

Find LCM of 228,984,504,591 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 41 x 21 x 197 = 77345352

Therefore, the lowest common multiple of 228,984,504,591 is 77345352.

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.

228 x 984 x 504 x 591 = 66826384128

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.

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

591 : 1, 3, 197, 591

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,984,504,591, is 3.

Now, the common factors can be found like this.

228:2x 2x 3x 19

984:2x 2x 2x 3x 41

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

591:3x 197

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 = 66826384128/(3x288)

LCM = 66826384128/864

LCM = 77345352

Thus, we can understand that the LCM of 228,984,504,591 is 77345352.

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

• LCM of 878, 531, 330, 106
• LCM of 853, 801, 505, 970
• LCM of 849, 768, 701, 782
• LCM of 540, 880, 258, 102
• LCM of 360, 996, 816, 492

1. What is the LCM of 228, 984, 504, 591?

Answer: LCM of 228, 984, 504, 591 is 77345352.

2. How to calculate the LCM of 228, 984, 504, 591?

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 228, 984, 504, 591.

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}.