Given numbers are 227,816,447,972,548

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

The LCM of 227,816,447,972,548 is 306272406096.

Find LCM of 227,816,447,972,548 with Prime Factorization

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

2 x 2 x 3 x 227 x 68 x 149 x 81 x 137 = 306272406096

Therefore, the lowest common multiple of 227,816,447,972,548 is 306272406096.

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.

227 x 816 x 447 x 972 x 548 = 44103226477824

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.

227 : 1, 227

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

447 : 1, 3, 149, 447

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,816,447,972,548, is 1.

Now, the common factors can be found like this.

227:227

816:2x 2x 2x 2x 3x 17

447:3x 149

972:2x 2x 3x 3x 3x 3x 3

548:2x 2x 137

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 3 = 144

Therefore, the value for common factors is 144.

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 = 44103226477824/(1x144)

LCM = 44103226477824/144

LCM = 306272406096

Thus, we can understand that the LCM of 227,816,447,972,548 is 306272406096.

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

• LCM of 233, 717, 171, 269, 274
• LCM of 478, 352, 876, 725, 255
• LCM of 250, 762, 838, 777, 679
• LCM of 737, 392, 939, 266, 636
• LCM of 722, 862, 895, 351, 683

1. What is the LCM of 227, 816, 447, 972, 548?

Answer: LCM of 227, 816, 447, 972, 548 is 306272406096.

2. How to calculate the LCM of 227, 816, 447, 972, 548?

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 227, 816, 447, 972, 548.

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}.