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LCM of 305, 259, 925, 645, 164

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


Find the LCM of 305, 259, 925, 645, 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 305, 259, 925, 645, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,259,925,645,164

Given numbers are 305,259,925,645,164

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

The LCM of 305,259,925,645,164 is 8356091100.

Find LCM of 305,259,925,645,164 with Prime Factorization


5 305, 259, 925, 645, 164
37 61, 259, 185, 129, 164
61, 7, 5, 129, 164

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

5 x 37 x 61 x 7 x 5 x 129 x 164 = 8356091100

Therefore, the lowest common multiple of 305,259,925,645,164 is 8356091100.

LCM Formula to Find Lowest Common Multiple of 305,259,925,645,164

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.

305 x 259 x 925 x 645 x 164 = 7729384267500

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.

305 : 1, 5, 61, 305

259 : 1, 7, 37, 259

925 : 1, 5, 25, 37, 185, 925

645 : 1, 3, 5, 15, 43, 129, 215, 645

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 305,259,925,645,164, is 1.

Now, the common factors can be found like this.

305:5x 61

259:7x 37

925:5x 5x 37

645:3x 5x 43

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.

5x 5x 37 = 925

Therefore, the value for common factors is 925.

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 = 7729384267500/(1x925)

LCM = 7729384267500/925

LCM = 8356091100

Thus, we can understand that the LCM of 305,259,925,645,164 is 8356091100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 259, 925, 645, 164

1. What is the LCM of 305, 259, 925, 645, 164?

Answer: LCM of 305, 259, 925, 645, 164 is 8356091100.

2. How to calculate the LCM of 305, 259, 925, 645, 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 305, 259, 925, 645, 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}.