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LCM of 569, 359, 473, 231, 990

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


Find the LCM of 569, 359, 473, 231, 990 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, 359, 473, 231, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,359,473,231,990

Given numbers are 569,359,473,231,990

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

The LCM of 569,359,473,231,990 is 60870715290.

Find LCM of 569,359,473,231,990 with Prime Factorization


3 569, 359, 473, 231, 990
11 569, 359, 473, 77, 330
569, 359, 43, 7, 30

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

3 x 11 x 569 x 359 x 43 x 7 x 30 = 60870715290

Therefore, the lowest common multiple of 569,359,473,231,990 is 60870715290.

LCM Formula to Find Lowest Common Multiple of 569,359,473,231,990

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 359 x 473 x 231 x 990 = 22096069650270

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

359 : 1, 359

473 : 1, 11, 43, 473

231 : 1, 3, 7, 11, 21, 33, 77, 231

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,359,473,231,990, is 1.

Now, the common factors can be found like this.

569:569

359:359

473:11x 43

231:3x 7x 11

990:2x 3x 3x 5x 11

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 22096069650270/(1x363)

LCM = 22096069650270/363

LCM = 60870715290

Thus, we can understand that the LCM of 569,359,473,231,990 is 60870715290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 359, 473, 231, 990

1. What is the LCM of 569, 359, 473, 231, 990?

Answer: LCM of 569, 359, 473, 231, 990 is 60870715290.

2. How to calculate the LCM of 569, 359, 473, 231, 990?

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, 359, 473, 231, 990.

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}.