Given numbers are 225,272,214,878

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

The LCM of 225,272,214,878 is 2874747600.

Find LCM of 225,272,214,878 with Prime Factorization

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

2 x 225 x 136 x 107 x 439 = 2874747600

Therefore, the lowest common multiple of 225,272,214,878 is 2874747600.

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.

225 x 272 x 214 x 878 = 11498990400

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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

214 : 1, 2, 107, 214

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,272,214,878, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

272:2x 2x 2x 2x 17

214:2x 107

878:2x 439

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11498990400/(1x4)

LCM = 11498990400/4

LCM = 2874747600

Thus, we can understand that the LCM of 225,272,214,878 is 2874747600.

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

• LCM of 554, 496, 537, 945
• LCM of 506, 644, 643, 531
• LCM of 914, 100, 334, 992
• LCM of 316, 580, 299, 378
• LCM of 494, 429, 555, 407

1. What is the LCM of 225, 272, 214, 878?

Answer: LCM of 225, 272, 214, 878 is 2874747600.

2. How to calculate the LCM of 225, 272, 214, 878?

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 225, 272, 214, 878.

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}.