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LCM of 185, 429, 529, 814

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


Find the LCM of 185, 429, 529, 814 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 185, 429, 529, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 185,429,529,814

Given numbers are 185,429,529,814

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

The LCM of 185,429,529,814 is 83968170.

Find LCM of 185,429,529,814 with Prime Factorization


11 185, 429, 529, 814
37 185, 39, 529, 74
5, 39, 529, 2

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

11 x 37 x 5 x 39 x 529 x 2 = 83968170

Therefore, the lowest common multiple of 185,429,529,814 is 83968170.

LCM Formula to Find Lowest Common Multiple of 185,429,529,814

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.

185 x 429 x 529 x 814 = 34175045190

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.

185 : 1, 5, 37, 185

429 : 1, 3, 11, 13, 33, 39, 143, 429

529 : 1, 23, 529

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,429,529,814, is 1.

Now, the common factors can be found like this.

185:5x 37

429:3x 11x 13

529:23x 23

814:2x 11x 37

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 34175045190/(1x407)

LCM = 34175045190/407

LCM = 83968170

Thus, we can understand that the LCM of 185,429,529,814 is 83968170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 185, 429, 529, 814

1. What is the LCM of 185, 429, 529, 814?

Answer: LCM of 185, 429, 529, 814 is 83968170.

2. How to calculate the LCM of 185, 429, 529, 814?

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 185, 429, 529, 814.

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}.