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LCM of 162, 242, 209, 506

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


Find the LCM of 162, 242, 209, 506 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, 242, 209, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,242,209,506

Given numbers are 162,242,209,506

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

The LCM of 162,242,209,506 is 8566074.

Find LCM of 162,242,209,506 with Prime Factorization


2 162, 242, 209, 506
11 81, 121, 209, 253
81, 11, 19, 23

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

2 x 11 x 81 x 11 x 19 x 23 = 8566074

Therefore, the lowest common multiple of 162,242,209,506 is 8566074.

LCM Formula to Find Lowest Common Multiple of 162,242,209,506

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 242 x 209 x 506 = 4145979816

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

242 : 1, 2, 11, 22, 121, 242

209 : 1, 11, 19, 209

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,242,209,506, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

242:2x 11x 11

209:11x 19

506:2x 11x 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 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 4145979816/(1x484)

LCM = 4145979816/484

LCM = 8566074

Thus, we can understand that the LCM of 162,242,209,506 is 8566074.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 242, 209, 506

1. What is the LCM of 162, 242, 209, 506?

Answer: LCM of 162, 242, 209, 506 is 8566074.

2. How to calculate the LCM of 162, 242, 209, 506?

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, 242, 209, 506.

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}.