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LCM of 162, 495, 494, 990

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


Find the LCM of 162, 495, 494, 990 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 162, 495, 494, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,495,494,990

Given numbers are 162,495,494,990

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

The LCM of 162,495,494,990 is 2200770.

Find LCM of 162,495,494,990 with Prime Factorization


2 162, 495, 494, 990
3 81, 495, 247, 495
3 27, 165, 247, 165
5 9, 55, 247, 55
11 9, 11, 247, 11
9, 1, 247, 1

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

2 x 3 x 3 x 5 x 11 x 9 x 1 x 247 x 1 = 2200770

Therefore, the lowest common multiple of 162,495,494,990 is 2200770.

LCM Formula to Find Lowest Common Multiple of 162,495,494,990

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.

162 x 495 x 494 x 990 = 39217721400

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

494 : 1, 2, 13, 19, 26, 38, 247, 494

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,495,494,990, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

495:3x 3x 5x 11

494:2x 13x 19

990:2x 3x 3x 5x 11

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 3x 3x 3x 3x 5x 11 = 17820

Therefore, the value for common factors is 17820.

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 = 39217721400/(1x17820)

LCM = 39217721400/17820

LCM = 2200770

Thus, we can understand that the LCM of 162,495,494,990 is 2200770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 495, 494, 990

1. What is the LCM of 162, 495, 494, 990?

Answer: LCM of 162, 495, 494, 990 is 2200770.

2. How to calculate the LCM of 162, 495, 494, 990?

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 162, 495, 494, 990.

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}.