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LCM of 404, 101, 221, 281

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


Find the LCM of 404, 101, 221, 281 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 404, 101, 221, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 404,101,221,281

Given numbers are 404,101,221,281

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

The LCM of 404,101,221,281 is 25088804.

Find LCM of 404,101,221,281 with Prime Factorization


101 404, 101, 221, 281
4, 1, 221, 281

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

101 x 4 x 1 x 221 x 281 = 25088804

Therefore, the lowest common multiple of 404,101,221,281 is 25088804.

LCM Formula to Find Lowest Common Multiple of 404,101,221,281

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.

404 x 101 x 221 x 281 = 2533969204

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.

404 : 1, 2, 4, 101, 202, 404

101 : 1, 101

221 : 1, 13, 17, 221

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,101,221,281, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

101:101

221:13x 17

281:281

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

101 = 101

Therefore, the value for common factors is 101.

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 = 2533969204/(1x101)

LCM = 2533969204/101

LCM = 25088804

Thus, we can understand that the LCM of 404,101,221,281 is 25088804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 404, 101, 221, 281

1. What is the LCM of 404, 101, 221, 281?

Answer: LCM of 404, 101, 221, 281 is 25088804.

2. How to calculate the LCM of 404, 101, 221, 281?

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 404, 101, 221, 281.

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}.