Given numbers are 214,592,901,692,272

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

The LCM of 214,592,901,692,272 is 9873619312.

Find LCM of 214,592,901,692,272 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 107 x 37 x 53 x 173 x 1 = 9873619312

Therefore, the lowest common multiple of 214,592,901,692,272 is 9873619312.

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.

214 x 592 x 901 x 692 x 272 = 21484995622912

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.

214 : 1, 2, 107, 214

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

901 : 1, 17, 53, 901

692 : 1, 2, 4, 173, 346, 692

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,592,901,692,272, is 1.

Now, the common factors can be found like this.

214:2x 107

592:2x 2x 2x 2x 37

901:17x 53

692:2x 2x 173

272:2x 2x 2x 2x 17

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 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 21484995622912/(1x2176)

LCM = 21484995622912/2176

LCM = 9873619312

Thus, we can understand that the LCM of 214,592,901,692,272 is 9873619312.

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

• LCM of 859, 913, 461, 512, 824
• LCM of 977, 528, 500, 112, 226
• LCM of 452, 265, 695, 232, 854
• LCM of 504, 598, 548, 998, 619
• LCM of 928, 510, 688, 307, 601

1. What is the LCM of 214, 592, 901, 692, 272?

Answer: LCM of 214, 592, 901, 692, 272 is 9873619312.

2. How to calculate the LCM of 214, 592, 901, 692, 272?

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 214, 592, 901, 692, 272.

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}.