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LCM of 537, 247, 309, 288

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


Find the LCM of 537, 247, 309, 288 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, 247, 309, 288. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,247,309,288

Given numbers are 537,247,309,288

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

The LCM of 537,247,309,288 is 1311534432.

Find LCM of 537,247,309,288 with Prime Factorization


3 537, 247, 309, 288
179, 247, 103, 96

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

3 x 179 x 247 x 103 x 96 = 1311534432

Therefore, the lowest common multiple of 537,247,309,288 is 1311534432.

LCM Formula to Find Lowest Common Multiple of 537,247,309,288

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 247 x 309 x 288 = 11803809888

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

247 : 1, 13, 19, 247

309 : 1, 3, 103, 309

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,247,309,288, is 1.

Now, the common factors can be found like this.

537:3x 179

247:13x 19

309:3x 103

288:2x 2x 2x 2x 2x 3x 3

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 11803809888/(1x9)

LCM = 11803809888/9

LCM = 1311534432

Thus, we can understand that the LCM of 537,247,309,288 is 1311534432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 247, 309, 288

1. What is the LCM of 537, 247, 309, 288?

Answer: LCM of 537, 247, 309, 288 is 1311534432.

2. How to calculate the LCM of 537, 247, 309, 288?

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, 247, 309, 288.

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}.