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LCM of 819, 611, 442, 372, 452

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


Find the LCM of 819, 611, 442, 372, 452 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 819, 611, 442, 372, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,611,442,372,452

Given numbers are 819,611,442,372,452

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

The LCM of 819,611,442,372,452 is 9169186572.

Find LCM of 819,611,442,372,452 with Prime Factorization


2 819, 611, 442, 372, 452
2 819, 611, 221, 186, 226
3 819, 611, 221, 93, 113
13 273, 611, 221, 31, 113
21, 47, 17, 31, 113

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

2 x 2 x 3 x 13 x 21 x 47 x 17 x 31 x 113 = 9169186572

Therefore, the lowest common multiple of 819,611,442,372,452 is 9169186572.

LCM Formula to Find Lowest Common Multiple of 819,611,442,372,452

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.

819 x 611 x 442 x 372 x 452 = 37190220736032

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

611 : 1, 13, 47, 611

442 : 1, 2, 13, 17, 26, 34, 221, 442

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,611,442,372,452, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

611:13x 47

442:2x 13x 17

372:2x 2x 3x 31

452:2x 2x 113

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 2x 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 37190220736032/(1x4056)

LCM = 37190220736032/4056

LCM = 9169186572

Thus, we can understand that the LCM of 819,611,442,372,452 is 9169186572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 611, 442, 372, 452

1. What is the LCM of 819, 611, 442, 372, 452?

Answer: LCM of 819, 611, 442, 372, 452 is 9169186572.

2. How to calculate the LCM of 819, 611, 442, 372, 452?

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 819, 611, 442, 372, 452.

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}.