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LCM of 396, 542, 537

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


Find the LCM of 396, 542, 537 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 396, 542, 537. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,542,537

Given numbers are 396,542,537

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

The LCM of 396,542,537 is 19209564.

Find LCM of 396,542,537 with Prime Factorization


2 396, 542, 537
3 198, 271, 537
66, 271, 179

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

2 x 3 x 66 x 271 x 179 = 19209564

Therefore, the lowest common multiple of 396,542,537 is 19209564.

LCM Formula to Find Lowest Common Multiple of 396,542,537

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.

396 x 542 x 537 = 115257384

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

542 : 1, 2, 271, 542

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,542,537, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

542:2x 271

537:3x 179

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 115257384/(1x6)

LCM = 115257384/6

LCM = 19209564

Thus, we can understand that the LCM of 396,542,537 is 19209564.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 396, 542, 537

1. What is the LCM of 396, 542, 537?

Answer: LCM of 396, 542, 537 is 19209564.

2. How to calculate the LCM of 396, 542, 537?

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 396, 542, 537.

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}.