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LCM of 309, 242, 368, 162

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


Find the LCM of 309, 242, 368, 162 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 309, 242, 368, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,242,368,162

Given numbers are 309,242,368,162

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

The LCM of 309,242,368,162 is 371497104.

Find LCM of 309,242,368,162 with Prime Factorization


2 309, 242, 368, 162
3 309, 121, 184, 81
103, 121, 184, 27

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

2 x 3 x 103 x 121 x 184 x 27 = 371497104

Therefore, the lowest common multiple of 309,242,368,162 is 371497104.

LCM Formula to Find Lowest Common Multiple of 309,242,368,162

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.

309 x 242 x 368 x 162 = 4457965248

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.

309 : 1, 3, 103, 309

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,242,368,162, is 1.

Now, the common factors can be found like this.

309:3x 103

242:2x 11x 11

368:2x 2x 2x 2x 23

162:2x 3x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4457965248/(1x12)

LCM = 4457965248/12

LCM = 371497104

Thus, we can understand that the LCM of 309,242,368,162 is 371497104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 242, 368, 162

1. What is the LCM of 309, 242, 368, 162?

Answer: LCM of 309, 242, 368, 162 is 371497104.

2. How to calculate the LCM of 309, 242, 368, 162?

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 309, 242, 368, 162.

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}.