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LCM of 681, 449, 425, 204

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


Find the LCM of 681, 449, 425, 204 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 681, 449, 425, 204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,449,425,204

Given numbers are 681,449,425,204

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

The LCM of 681,449,425,204 is 519807300.

Find LCM of 681,449,425,204 with Prime Factorization


3 681, 449, 425, 204
17 227, 449, 425, 68
227, 449, 25, 4

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

3 x 17 x 227 x 449 x 25 x 4 = 519807300

Therefore, the lowest common multiple of 681,449,425,204 is 519807300.

LCM Formula to Find Lowest Common Multiple of 681,449,425,204

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.

681 x 449 x 425 x 204 = 26510172300

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.

681 : 1, 3, 227, 681

449 : 1, 449

425 : 1, 5, 17, 25, 85, 425

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,449,425,204, is 1.

Now, the common factors can be found like this.

681:3x 227

449:449

425:5x 5x 17

204:2x 2x 3x 17

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 26510172300/(1x51)

LCM = 26510172300/51

LCM = 519807300

Thus, we can understand that the LCM of 681,449,425,204 is 519807300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 449, 425, 204

1. What is the LCM of 681, 449, 425, 204?

Answer: LCM of 681, 449, 425, 204 is 519807300.

2. How to calculate the LCM of 681, 449, 425, 204?

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 681, 449, 425, 204.

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}.