Given numbers are 289,540,668,904

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

The LCM of 289,540,668,904 is 5890016520.

Find LCM of 289,540,668,904 with Prime Factorization

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

2 x 2 x 289 x 135 x 167 x 226 = 5890016520

Therefore, the lowest common multiple of 289,540,668,904 is 5890016520.

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.

289 x 540 x 668 x 904 = 94240264320

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.

289 : 1, 17, 289

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

668 : 1, 2, 4, 167, 334, 668

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 289,540,668,904, is 1.

Now, the common factors can be found like this.

289:17x 17

540:2x 2x 3x 3x 3x 5

668:2x 2x 167

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 2 = 16

Therefore, the value for common factors is 16.

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 = 94240264320/(1x16)

LCM = 94240264320/16

LCM = 5890016520

Thus, we can understand that the LCM of 289,540,668,904 is 5890016520.

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

• LCM of 490, 633, 151, 859
• LCM of 208, 201, 224, 410
• LCM of 786, 439, 917, 259
• LCM of 791, 374, 448, 993
• LCM of 229, 953, 701, 408

1. What is the LCM of 289, 540, 668, 904?

Answer: LCM of 289, 540, 668, 904 is 5890016520.

2. How to calculate the LCM of 289, 540, 668, 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 289, 540, 668, 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}.