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LCM of 570, 394, 281, 221, 381

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


Find the LCM of 570, 394, 281, 221, 381 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 570, 394, 281, 221, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,394,281,221,381

Given numbers are 570,394,281,221,381

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

The LCM of 570,394,281,221,381 is 885611803830.

Find LCM of 570,394,281,221,381 with Prime Factorization


2 570, 394, 281, 221, 381
3 285, 197, 281, 221, 381
95, 197, 281, 221, 127

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

2 x 3 x 95 x 197 x 281 x 221 x 127 = 885611803830

Therefore, the lowest common multiple of 570,394,281,221,381 is 885611803830.

LCM Formula to Find Lowest Common Multiple of 570,394,281,221,381

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.

570 x 394 x 281 x 221 x 381 = 5313670822980

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

394 : 1, 2, 197, 394

281 : 1, 281

221 : 1, 13, 17, 221

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,394,281,221,381, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

394:2x 197

281:281

221:13x 17

381:3x 127

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5313670822980/(1x6)

LCM = 5313670822980/6

LCM = 885611803830

Thus, we can understand that the LCM of 570,394,281,221,381 is 885611803830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 394, 281, 221, 381

1. What is the LCM of 570, 394, 281, 221, 381?

Answer: LCM of 570, 394, 281, 221, 381 is 885611803830.

2. How to calculate the LCM of 570, 394, 281, 221, 381?

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 570, 394, 281, 221, 381.

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}.