Given numbers are 589,327,148,400

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

The LCM of 589,327,148,400 is 2850524400.

Find LCM of 589,327,148,400 with Prime Factorization

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

2 x 2 x 589 x 327 x 37 x 100 = 2850524400

Therefore, the lowest common multiple of 589,327,148,400 is 2850524400.

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.

589 x 327 x 148 x 400 = 11402097600

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.

589 : 1, 19, 31, 589

327 : 1, 3, 109, 327

148 : 1, 2, 4, 37, 74, 148

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,327,148,400, is 1.

Now, the common factors can be found like this.

589:19x 31

327:3x 109

148:2x 2x 37

400:2x 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 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 = 11402097600/(1x4)

LCM = 11402097600/4

LCM = 2850524400

Thus, we can understand that the LCM of 589,327,148,400 is 2850524400.

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

• LCM of 372, 620, 286, 604
• LCM of 992, 129, 696, 996
• LCM of 445, 874, 582, 860
• LCM of 166, 752, 802, 953
• LCM of 380, 878, 377, 798

1. What is the LCM of 589, 327, 148, 400?

Answer: LCM of 589, 327, 148, 400 is 2850524400.

2. How to calculate the LCM of 589, 327, 148, 400?

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 589, 327, 148, 400.

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}.