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LCM of 165, 105, 362, 905

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


Find the LCM of 165, 105, 362, 905 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 165, 105, 362, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,105,362,905

Given numbers are 165,105,362,905

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

The LCM of 165,105,362,905 is 418110.

Find LCM of 165,105,362,905 with Prime Factorization


3 165, 105, 362, 905
5 55, 35, 362, 905
181 11, 7, 362, 181
11, 7, 2, 1

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

3 x 5 x 181 x 11 x 7 x 2 x 1 = 418110

Therefore, the lowest common multiple of 165,105,362,905 is 418110.

LCM Formula to Find Lowest Common Multiple of 165,105,362,905

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.

165 x 105 x 362 x 905 = 5675843250

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

105 : 1, 3, 5, 7, 15, 21, 35, 105

362 : 1, 2, 181, 362

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,105,362,905, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

105:3x 5x 7

362:2x 181

905:5x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5x 5x 181 = 13575

Therefore, the value for common factors is 13575.

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 = 5675843250/(1x13575)

LCM = 5675843250/13575

LCM = 418110

Thus, we can understand that the LCM of 165,105,362,905 is 418110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 105, 362, 905

1. What is the LCM of 165, 105, 362, 905?

Answer: LCM of 165, 105, 362, 905 is 418110.

2. How to calculate the LCM of 165, 105, 362, 905?

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 165, 105, 362, 905.

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}.