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LCM of 232, 537, 589, 361, 929

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


Find the LCM of 232, 537, 589, 361, 929 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 232, 537, 589, 361, 929. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,537,589,361,929

Given numbers are 232,537,589,361,929

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

The LCM of 232,537,589,361,929 is 1295229956376.

Find LCM of 232,537,589,361,929 with Prime Factorization


19 232, 537, 589, 361, 929
232, 537, 31, 19, 929

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

19 x 232 x 537 x 31 x 19 x 929 = 1295229956376

Therefore, the lowest common multiple of 232,537,589,361,929 is 1295229956376.

LCM Formula to Find Lowest Common Multiple of 232,537,589,361,929

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.

232 x 537 x 589 x 361 x 929 = 24609369171144

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

537 : 1, 3, 179, 537

589 : 1, 19, 31, 589

361 : 1, 19, 361

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,537,589,361,929, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

537:3x 179

589:19x 31

361:19x 19

929:929

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

19 = 19

Therefore, the value for common factors is 19.

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 = 24609369171144/(1x19)

LCM = 24609369171144/19

LCM = 1295229956376

Thus, we can understand that the LCM of 232,537,589,361,929 is 1295229956376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 537, 589, 361, 929

1. What is the LCM of 232, 537, 589, 361, 929?

Answer: LCM of 232, 537, 589, 361, 929 is 1295229956376.

2. How to calculate the LCM of 232, 537, 589, 361, 929?

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 232, 537, 589, 361, 929.

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}.