Given numbers are 214,320,672,904

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

The LCM of 214,320,672,904 is 81251520.

Find LCM of 214,320,672,904 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 107 x 10 x 21 x 113 = 81251520

Therefore, the lowest common multiple of 214,320,672,904 is 81251520.

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 320 x 672 x 904 = 41600778240

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,320,672,904, is 2.

Now, the common factors can be found like this.

214:2x 107

320:2x 2x 2x 2x 2x 2x 5

672:2x 2x 2x 2x 2x 3x 7

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 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 41600778240/(2x256)

LCM = 41600778240/512

LCM = 81251520

Thus, we can understand that the LCM of 214,320,672,904 is 81251520.

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

• LCM of 912, 499, 133, 779
• LCM of 940, 276, 600, 308
• LCM of 899, 196, 791, 722
• LCM of 131, 429, 534, 579
• LCM of 111, 221, 383, 654

1. What is the LCM of 214, 320, 672, 904?

Answer: LCM of 214, 320, 672, 904 is 81251520.

2. How to calculate the LCM of 214, 320, 672, 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 214, 320, 672, 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}.