Given numbers are 214,266,323,625,800

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

The LCM of 214,266,323,625,800 is 4838540000.

Find LCM of 214,266,323,625,800 with Prime Factorization

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

2 x 5 x 5 x 19 x 107 x 7 x 17 x 25 x 16 = 4838540000

Therefore, the lowest common multiple of 214,266,323,625,800 is 4838540000.

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 266 x 323 x 625 x 800 = 9193226000000

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

323 : 1, 17, 19, 323

625 : 1, 5, 25, 125, 625

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,266,323,625,800, is 1.

Now, the common factors can be found like this.

214:2x 107

266:2x 7x 19

323:17x 19

625:5x 5x 5x 5

800:2x 2x 2x 2x 2x 5x 5

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 5x 5x 19 = 1900

Therefore, the value for common factors is 1900.

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 = 9193226000000/(1x1900)

LCM = 9193226000000/1900

LCM = 4838540000

Thus, we can understand that the LCM of 214,266,323,625,800 is 4838540000.

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

• LCM of 282, 600, 262, 278, 789
• LCM of 451, 740, 156, 536, 565
• LCM of 231, 262, 522, 480, 429
• LCM of 154, 947, 592, 713, 632
• LCM of 920, 265, 838, 345, 939

1. What is the LCM of 214, 266, 323, 625, 800?

Answer: LCM of 214, 266, 323, 625, 800 is 4838540000.

2. How to calculate the LCM of 214, 266, 323, 625, 800?

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, 266, 323, 625, 800.

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}.