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LCM of 396, 548, 849, 901

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


Find the LCM of 396, 548, 849, 901 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, 548, 849, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,548,849,901

Given numbers are 396,548,849,901

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

The LCM of 396,548,849,901 is 13833337716.

Find LCM of 396,548,849,901 with Prime Factorization


2 396, 548, 849, 901
2 198, 274, 849, 901
3 99, 137, 849, 901
33, 137, 283, 901

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

2 x 2 x 3 x 33 x 137 x 283 x 901 = 13833337716

Therefore, the lowest common multiple of 396,548,849,901 is 13833337716.

LCM Formula to Find Lowest Common Multiple of 396,548,849,901

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 548 x 849 x 901 = 166000052592

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

548 : 1, 2, 4, 137, 274, 548

849 : 1, 3, 283, 849

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,548,849,901, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

548:2x 2x 137

849:3x 283

901:17x 53

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 3 = 12

Therefore, the value for common factors is 12.

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 = 166000052592/(1x12)

LCM = 166000052592/12

LCM = 13833337716

Thus, we can understand that the LCM of 396,548,849,901 is 13833337716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 548, 849, 901

1. What is the LCM of 396, 548, 849, 901?

Answer: LCM of 396, 548, 849, 901 is 13833337716.

2. How to calculate the LCM of 396, 548, 849, 901?

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, 548, 849, 901.

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}.