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LCM of 98, 82, 82, 81, 164

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


Find the LCM of 98, 82, 82, 81, 164 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 98, 82, 82, 81, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 98,82,82,81,164

Given numbers are 98,82,82,81,164

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

The LCM of 98,82,82,81,164 is 650916.

Find LCM of 98,82,82,81,164 with Prime Factorization


2 98, 82, 82, 81, 164
41 49, 41, 41, 81, 82
49, 1, 1, 81, 2

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

2 x 41 x 49 x 1 x 1 x 81 x 2 = 650916

Therefore, the lowest common multiple of 98,82,82,81,164 is 650916.

LCM Formula to Find Lowest Common Multiple of 98,82,82,81,164

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.

98 x 82 x 82 x 81 x 164 = 8753518368

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.

98 : 1, 2, 7, 14, 49, 98

82 : 1, 2, 41, 82

82 : 1, 2, 41, 82

81 : 1, 3, 9, 27, 81

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 98,82,82,81,164, is 1.

Now, the common factors can be found like this.

98:2x 7x 7

82:2x 41

82:2x 41

81:3x 3x 3x 3

164:2x 2x 41

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 41x 41 = 13448

Therefore, the value for common factors is 13448.

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 = 8753518368/(1x13448)

LCM = 8753518368/13448

LCM = 650916

Thus, we can understand that the LCM of 98,82,82,81,164 is 650916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 98, 82, 82, 81, 164

1. What is the LCM of 98, 82, 82, 81, 164?

Answer: LCM of 98, 82, 82, 81, 164 is 650916.

2. How to calculate the LCM of 98, 82, 82, 81, 164?

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 98, 82, 82, 81, 164.

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}.