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LCM of 382, 150, 816, 493

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


Find the LCM of 382, 150, 816, 493 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 382, 150, 816, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,150,816,493

Given numbers are 382,150,816,493

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

The LCM of 382,150,816,493 is 112995600.

Find LCM of 382,150,816,493 with Prime Factorization


2 382, 150, 816, 493
3 191, 75, 408, 493
17 191, 25, 136, 493
191, 25, 8, 29

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

2 x 3 x 17 x 191 x 25 x 8 x 29 = 112995600

Therefore, the lowest common multiple of 382,150,816,493 is 112995600.

LCM Formula to Find Lowest Common Multiple of 382,150,816,493

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.

382 x 150 x 816 x 493 = 23051102400

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.

382 : 1, 2, 191, 382

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,150,816,493, is 1.

Now, the common factors can be found like this.

382:2x 191

150:2x 3x 5x 5

816:2x 2x 2x 2x 3x 17

493:17x 29

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 23051102400/(1x204)

LCM = 23051102400/204

LCM = 112995600

Thus, we can understand that the LCM of 382,150,816,493 is 112995600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 150, 816, 493

1. What is the LCM of 382, 150, 816, 493?

Answer: LCM of 382, 150, 816, 493 is 112995600.

2. How to calculate the LCM of 382, 150, 816, 493?

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 382, 150, 816, 493.

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}.