Given numbers are 489,221,716,644

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

The LCM of 489,221,716,644 is 12457762044.

Find LCM of 489,221,716,644 with Prime Factorization

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

2 x 2 x 489 x 221 x 179 x 161 = 12457762044

Therefore, the lowest common multiple of 489,221,716,644 is 12457762044.

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 221 x 716 x 644 = 49831048176

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

221 : 1, 13, 17, 221

716 : 1, 2, 4, 179, 358, 716

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,221,716,644, is 1.

Now, the common factors can be found like this.

489:3x 163

221:13x 17

716:2x 2x 179

644:2x 2x 7x 23

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 = 49831048176/(1x4)

LCM = 49831048176/4

LCM = 12457762044

Thus, we can understand that the LCM of 489,221,716,644 is 12457762044.

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

• LCM of 621, 398, 873, 346
• LCM of 500, 852, 935, 514
• LCM of 986, 965, 724, 204
• LCM of 913, 724, 547, 238
• LCM of 641, 946, 309, 495

1. What is the LCM of 489, 221, 716, 644?

Answer: LCM of 489, 221, 716, 644 is 12457762044.

2. How to calculate the LCM of 489, 221, 716, 644?

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, 221, 716, 644.

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}.