Given numbers are 489,966,879

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

The LCM of 489,966,879 is 46135194.

Find LCM of 489,966,879 with Prime Factorization

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

3 x 163 x 322 x 293 = 46135194

Therefore, the lowest common multiple of 489,966,879 is 46135194.

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.

489 x 966 x 879 = 415216746

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.

489 : 1, 3, 163, 489

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

879 : 1, 3, 293, 879

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,966,879, is 3.

Now, the common factors can be found like this.

489:3x 163

966:2x 3x 7x 23

879:3x 293

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

3 = 3

Therefore, the value for common factors is 3.

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 = 415216746/(3x3)

LCM = 415216746/9

LCM = 46135194

Thus, we can understand that the LCM of 489,966,879 is 46135194.

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

• LCM of 397, 218, 990
• LCM of 336, 357, 494
• LCM of 100, 160, 791
• LCM of 459, 826, 978
• LCM of 569, 993, 916

1. What is the LCM of 489, 966, 879?

Answer: LCM of 489, 966, 879 is 46135194.

2. How to calculate the LCM of 489, 966, 879?

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 489, 966, 879.

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}.