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LCM of 569, 553, 217, 257

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


Find the LCM of 569, 553, 217, 257 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 569, 553, 217, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,553,217,257

Given numbers are 569,553,217,257

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

The LCM of 569,553,217,257 is 2506872319.

Find LCM of 569,553,217,257 with Prime Factorization


7 569, 553, 217, 257
569, 79, 31, 257

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

7 x 569 x 79 x 31 x 257 = 2506872319

Therefore, the lowest common multiple of 569,553,217,257 is 2506872319.

LCM Formula to Find Lowest Common Multiple of 569,553,217,257

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.

569 x 553 x 217 x 257 = 17548106233

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.

569 : 1, 569

553 : 1, 7, 79, 553

217 : 1, 7, 31, 217

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,553,217,257, is 1.

Now, the common factors can be found like this.

569:569

553:7x 79

217:7x 31

257:257

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

7 = 7

Therefore, the value for common factors is 7.

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 = 17548106233/(1x7)

LCM = 17548106233/7

LCM = 2506872319

Thus, we can understand that the LCM of 569,553,217,257 is 2506872319.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 553, 217, 257

1. What is the LCM of 569, 553, 217, 257?

Answer: LCM of 569, 553, 217, 257 is 2506872319.

2. How to calculate the LCM of 569, 553, 217, 257?

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 569, 553, 217, 257.

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}.