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LCM of 528, 569, 594, 319, 233

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


Find the LCM of 528, 569, 594, 319, 233 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 528, 569, 594, 319, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,569,594,319,233

Given numbers are 528,569,594,319,233

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

The LCM of 528,569,594,319,233 is 18270171216.

Find LCM of 528,569,594,319,233 with Prime Factorization


2 528, 569, 594, 319, 233
3 264, 569, 297, 319, 233
11 88, 569, 99, 319, 233
8, 569, 9, 29, 233

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

2 x 3 x 11 x 8 x 569 x 9 x 29 x 233 = 18270171216

Therefore, the lowest common multiple of 528,569,594,319,233 is 18270171216.

LCM Formula to Find Lowest Common Multiple of 528,569,594,319,233

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.

528 x 569 x 594 x 319 x 233 = 13264144302816

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

569 : 1, 569

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

319 : 1, 11, 29, 319

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,569,594,319,233, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

569:569

594:2x 3x 3x 3x 11

319:11x 29

233:233

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

2x 3x 11x 11 = 726

Therefore, the value for common factors is 726.

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 = 13264144302816/(1x726)

LCM = 13264144302816/726

LCM = 18270171216

Thus, we can understand that the LCM of 528,569,594,319,233 is 18270171216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 569, 594, 319, 233

1. What is the LCM of 528, 569, 594, 319, 233?

Answer: LCM of 528, 569, 594, 319, 233 is 18270171216.

2. How to calculate the LCM of 528, 569, 594, 319, 233?

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 528, 569, 594, 319, 233.

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}.