Given numbers are 489,978,939,840,217

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

The LCM of 489,978,939,840,217 is 1328534760.

Find LCM of 489,978,939,840,217 with Prime Factorization

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

2 x 3 x 7 x 163 x 1 x 1 x 313 x 20 x 31 = 1328534760

Therefore, the lowest common multiple of 489,978,939,840,217 is 1328534760.

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 978 x 939 x 840 x 217 = 81856340702640

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

939 : 1, 3, 313, 939

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,978,939,840,217, is 1.

Now, the common factors can be found like this.

489:3x 163

978:2x 3x 163

939:3x 313

840:2x 2x 2x 3x 5x 7

217:7x 31

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

2x 3x 3x 3x 7x 163 = 61614

Therefore, the value for common factors is 61614.

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 = 81856340702640/(1x61614)

LCM = 81856340702640/61614

LCM = 1328534760

Thus, we can understand that the LCM of 489,978,939,840,217 is 1328534760.

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

• LCM of 603, 723, 214, 745, 966
• LCM of 996, 557, 404, 883, 872
• LCM of 360, 959, 239, 375, 729
• LCM of 817, 934, 319, 570, 558
• LCM of 371, 743, 823, 907, 166

1. What is the LCM of 489, 978, 939, 840, 217?

Answer: LCM of 489, 978, 939, 840, 217 is 1328534760.

2. How to calculate the LCM of 489, 978, 939, 840, 217?

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, 978, 939, 840, 217.

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}.