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LCM of 898, 313, 164

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


Find the LCM of 898, 313, 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 898, 313, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,313,164

Given numbers are 898,313,164

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

The LCM of 898,313,164 is 23048068.

Find LCM of 898,313,164 with Prime Factorization


2 898, 313, 164
449, 313, 82

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

2 x 449 x 313 x 82 = 23048068

Therefore, the lowest common multiple of 898,313,164 is 23048068.

LCM Formula to Find Lowest Common Multiple of 898,313,164

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.

898 x 313 x 164 = 46096136

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.

898 : 1, 2, 449, 898

313 : 1, 313

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 898,313,164, is 1.

Now, the common factors can be found like this.

898:2x 449

313:313

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 46096136/(1x2)

LCM = 46096136/2

LCM = 23048068

Thus, we can understand that the LCM of 898,313,164 is 23048068.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 898, 313, 164

1. What is the LCM of 898, 313, 164?

Answer: LCM of 898, 313, 164 is 23048068.

2. How to calculate the LCM of 898, 313, 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 898, 313, 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}.