Given numbers are 489,203,667,986

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

The LCM of 489,203,667,986 is 77626794.

Find LCM of 489,203,667,986 with Prime Factorization

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

29 x 489 x 7 x 23 x 34 = 77626794

Therefore, the lowest common multiple of 489,203,667,986 is 77626794.

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 203 x 667 x 986 = 65284133754

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

203 : 1, 7, 29, 203

667 : 1, 23, 29, 667

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,203,667,986, is 1.

Now, the common factors can be found like this.

489:3x 163

203:7x 29

667:23x 29

986:2x 17x 29

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 65284133754/(1x841)

LCM = 65284133754/841

LCM = 77626794

Thus, we can understand that the LCM of 489,203,667,986 is 77626794.

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

• LCM of 459, 237, 381, 388
• LCM of 495, 775, 830, 691
• LCM of 537, 196, 365, 527
• LCM of 260, 589, 161, 957
• LCM of 319, 821, 918, 924

1. What is the LCM of 489, 203, 667, 986?

Answer: LCM of 489, 203, 667, 986 is 77626794.

2. How to calculate the LCM of 489, 203, 667, 986?

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, 203, 667, 986.

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}.