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LCM of 562, 931, 531, 590, 328

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


Find the LCM of 562, 931, 531, 590, 328 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 562, 931, 531, 590, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,931,531,590,328

Given numbers are 562,931,531,590,328

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

The LCM of 562,931,531,590,328 is 227821323240.

Find LCM of 562,931,531,590,328 with Prime Factorization


2 562, 931, 531, 590, 328
59 281, 931, 531, 295, 164
281, 931, 9, 5, 164

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

2 x 59 x 281 x 931 x 9 x 5 x 164 = 227821323240

Therefore, the lowest common multiple of 562,931,531,590,328 is 227821323240.

LCM Formula to Find Lowest Common Multiple of 562,931,531,590,328

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.

562 x 931 x 531 x 590 x 328 = 53765832284640

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.

562 : 1, 2, 281, 562

931 : 1, 7, 19, 49, 133, 931

531 : 1, 3, 9, 59, 177, 531

590 : 1, 2, 5, 10, 59, 118, 295, 590

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,931,531,590,328, is 1.

Now, the common factors can be found like this.

562:2x 281

931:7x 7x 19

531:3x 3x 59

590:2x 5x 59

328:2x 2x 2x 41

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

2x 2x 59 = 236

Therefore, the value for common factors is 236.

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 = 53765832284640/(1x236)

LCM = 53765832284640/236

LCM = 227821323240

Thus, we can understand that the LCM of 562,931,531,590,328 is 227821323240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 562, 931, 531, 590, 328

1. What is the LCM of 562, 931, 531, 590, 328?

Answer: LCM of 562, 931, 531, 590, 328 is 227821323240.

2. How to calculate the LCM of 562, 931, 531, 590, 328?

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 562, 931, 531, 590, 328.

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}.