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LCM of 853, 435, 458, 165, 182

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


Find the LCM of 853, 435, 458, 165, 182 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 853, 435, 458, 165, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,435,458,165,182

Given numbers are 853,435,458,165,182

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

The LCM of 853,435,458,165,182 is 170113133190.

Find LCM of 853,435,458,165,182 with Prime Factorization


2 853, 435, 458, 165, 182
3 853, 435, 229, 165, 91
5 853, 145, 229, 55, 91
853, 29, 229, 11, 91

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

2 x 3 x 5 x 853 x 29 x 229 x 11 x 91 = 170113133190

Therefore, the lowest common multiple of 853,435,458,165,182 is 170113133190.

LCM Formula to Find Lowest Common Multiple of 853,435,458,165,182

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.

853 x 435 x 458 x 165 x 182 = 5103393995700

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.

853 : 1, 853

435 : 1, 3, 5, 15, 29, 87, 145, 435

458 : 1, 2, 229, 458

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,435,458,165,182, is 1.

Now, the common factors can be found like this.

853:853

435:3x 5x 29

458:2x 229

165:3x 5x 11

182:2x 7x 13

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 5 = 30

Therefore, the value for common factors is 30.

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 = 5103393995700/(1x30)

LCM = 5103393995700/30

LCM = 170113133190

Thus, we can understand that the LCM of 853,435,458,165,182 is 170113133190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 435, 458, 165, 182

1. What is the LCM of 853, 435, 458, 165, 182?

Answer: LCM of 853, 435, 458, 165, 182 is 170113133190.

2. How to calculate the LCM of 853, 435, 458, 165, 182?

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 853, 435, 458, 165, 182.

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}.