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LCM of 324, 103, 247, 162

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


Find the LCM of 324, 103, 247, 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 324, 103, 247, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 324,103,247,162

Given numbers are 324,103,247,162

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

The LCM of 324,103,247,162 is 8242884.

Find LCM of 324,103,247,162 with Prime Factorization


2 324, 103, 247, 162
3 162, 103, 247, 81
3 54, 103, 247, 27
3 18, 103, 247, 9
3 6, 103, 247, 3
2, 103, 247, 1

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

2 x 3 x 3 x 3 x 3 x 2 x 103 x 247 x 1 = 8242884

Therefore, the lowest common multiple of 324,103,247,162 is 8242884.

LCM Formula to Find Lowest Common Multiple of 324,103,247,162

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.

324 x 103 x 247 x 162 = 1335347208

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

103 : 1, 103

247 : 1, 13, 19, 247

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 324,103,247,162, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

103:103

247:13x 19

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 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 1335347208/(1x162)

LCM = 1335347208/162

LCM = 8242884

Thus, we can understand that the LCM of 324,103,247,162 is 8242884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 324, 103, 247, 162

1. What is the LCM of 324, 103, 247, 162?

Answer: LCM of 324, 103, 247, 162 is 8242884.

2. How to calculate the LCM of 324, 103, 247, 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 324, 103, 247, 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}.