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LCM of 489, 696, 803, 638, 496

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 489, 696, 803, 638, 496 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 489, 696, 803, 638, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,696,803,638,496

Given numbers are 489,696,803,638,496

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

The LCM of 489,696,803,638,496 is 5648122128.

Find LCM of 489,696,803,638,496 with Prime Factorization


2 489, 696, 803, 638, 496
2 489, 348, 803, 319, 248
2 489, 174, 803, 319, 124
3 489, 87, 803, 319, 62
11 163, 29, 803, 319, 62
29 163, 29, 73, 29, 62
163, 1, 73, 1, 62

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

2 x 2 x 2 x 3 x 11 x 29 x 163 x 1 x 73 x 1 x 62 = 5648122128

Therefore, the lowest common multiple of 489,696,803,638,496 is 5648122128.

LCM Formula to Find Lowest Common Multiple of 489,696,803,638,496

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 696 x 803 x 638 x 496 = 86484046023936

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

803 : 1, 11, 73, 803

638 : 1, 2, 11, 22, 29, 58, 319, 638

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,696,803,638,496, is 1.

Now, the common factors can be found like this.

489:3x 163

696:2x 2x 2x 3x 29

803:11x 73

638:2x 11x 29

496:2x 2x 2x 2x 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 2x 2x 2x 3x 11x 29 = 15312

Therefore, the value for common factors is 15312.

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 = 86484046023936/(1x15312)

LCM = 86484046023936/15312

LCM = 5648122128

Thus, we can understand that the LCM of 489,696,803,638,496 is 5648122128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 696, 803, 638, 496

1. What is the LCM of 489, 696, 803, 638, 496?

Answer: LCM of 489, 696, 803, 638, 496 is 5648122128.

2. How to calculate the LCM of 489, 696, 803, 638, 496?

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, 696, 803, 638, 496.

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}.