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LCM of 537, 520, 289, 363

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


Find the LCM of 537, 520, 289, 363 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 537, 520, 289, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,520,289,363

Given numbers are 537,520,289,363

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

The LCM of 537,520,289,363 is 9764743560.

Find LCM of 537,520,289,363 with Prime Factorization


3 537, 520, 289, 363
179, 520, 289, 121

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

3 x 179 x 520 x 289 x 121 = 9764743560

Therefore, the lowest common multiple of 537,520,289,363 is 9764743560.

LCM Formula to Find Lowest Common Multiple of 537,520,289,363

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.

537 x 520 x 289 x 363 = 29294230680

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.

537 : 1, 3, 179, 537

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

289 : 1, 17, 289

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,520,289,363, is 1.

Now, the common factors can be found like this.

537:3x 179

520:2x 2x 2x 5x 13

289:17x 17

363:3x 11x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 29294230680/(1x3)

LCM = 29294230680/3

LCM = 9764743560

Thus, we can understand that the LCM of 537,520,289,363 is 9764743560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 520, 289, 363

1. What is the LCM of 537, 520, 289, 363?

Answer: LCM of 537, 520, 289, 363 is 9764743560.

2. How to calculate the LCM of 537, 520, 289, 363?

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 537, 520, 289, 363.

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}.