Given numbers are 217,644,133,364,904

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

The LCM of 217,644,133,364,904 is 1114430408.

Find LCM of 217,644,133,364,904 with Prime Factorization

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

2 x 2 x 7 x 31 x 23 x 19 x 13 x 226 = 1114430408

Therefore, the lowest common multiple of 217,644,133,364,904 is 1114430408.

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.

217 x 644 x 133 x 364 x 904 = 6115994079104

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.

217 : 1, 7, 31, 217

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

133 : 1, 7, 19, 133

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,644,133,364,904, is 1.

Now, the common factors can be found like this.

217:7x 31

644:2x 2x 7x 23

133:7x 19

364:2x 2x 7x 13

904:2x 2x 2x 113

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 7x 7x 7 = 5488

Therefore, the value for common factors is 5488.

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 = 6115994079104/(1x5488)

LCM = 6115994079104/5488

LCM = 1114430408

Thus, we can understand that the LCM of 217,644,133,364,904 is 1114430408.

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

• LCM of 160, 920, 824, 852, 955
• LCM of 690, 225, 581, 456, 668
• LCM of 526, 901, 331, 804, 329
• LCM of 860, 177, 911, 485, 999
• LCM of 380, 835, 346, 124, 406

1. What is the LCM of 217, 644, 133, 364, 904?

Answer: LCM of 217, 644, 133, 364, 904 is 1114430408.

2. How to calculate the LCM of 217, 644, 133, 364, 904?

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 217, 644, 133, 364, 904.

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}.