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LCM of 165, 221, 253, 858, 525

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


Find the LCM of 165, 221, 253, 858, 525 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, 221, 253, 858, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,221,253,858,525

Given numbers are 165,221,253,858,525

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

The LCM of 165,221,253,858,525 is 58708650.

Find LCM of 165,221,253,858,525 with Prime Factorization


3 165, 221, 253, 858, 525
5 55, 221, 253, 286, 175
11 11, 221, 253, 286, 35
13 1, 221, 23, 26, 35
1, 17, 23, 2, 35

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

3 x 5 x 11 x 13 x 1 x 17 x 23 x 2 x 35 = 58708650

Therefore, the lowest common multiple of 165,221,253,858,525 is 58708650.

LCM Formula to Find Lowest Common Multiple of 165,221,253,858,525

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 221 x 253 x 858 x 525 = 4155691790250

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

221 : 1, 13, 17, 221

253 : 1, 11, 23, 253

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,221,253,858,525, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

221:13x 17

253:11x 23

858:2x 3x 11x 13

525:3x 5x 5x 7

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

3x 3x 5x 11x 11x 13 = 70785

Therefore, the value for common factors is 70785.

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 = 4155691790250/(1x70785)

LCM = 4155691790250/70785

LCM = 58708650

Thus, we can understand that the LCM of 165,221,253,858,525 is 58708650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 221, 253, 858, 525

1. What is the LCM of 165, 221, 253, 858, 525?

Answer: LCM of 165, 221, 253, 858, 525 is 58708650.

2. How to calculate the LCM of 165, 221, 253, 858, 525?

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, 221, 253, 858, 525.

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}.