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LCM of 824, 218, 990, 436

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


Find the LCM of 824, 218, 990, 436 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 824, 218, 990, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,218,990,436

Given numbers are 824,218,990,436

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

The LCM of 824,218,990,436 is 44458920.

Find LCM of 824,218,990,436 with Prime Factorization


2 824, 218, 990, 436
2 412, 109, 495, 218
109 206, 109, 495, 109
206, 1, 495, 1

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

2 x 2 x 109 x 206 x 1 x 495 x 1 = 44458920

Therefore, the lowest common multiple of 824,218,990,436 is 44458920.

LCM Formula to Find Lowest Common Multiple of 824,218,990,436

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.

824 x 218 x 990 x 436 = 77536356480

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

218 : 1, 2, 109, 218

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

436 : 1, 2, 4, 109, 218, 436

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,218,990,436, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

218:2x 109

990:2x 3x 3x 5x 11

436:2x 2x 109

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 109 = 872

Therefore, the value for common factors is 872.

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 = 77536356480/(2x872)

LCM = 77536356480/1744

LCM = 44458920

Thus, we can understand that the LCM of 824,218,990,436 is 44458920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 218, 990, 436

1. What is the LCM of 824, 218, 990, 436?

Answer: LCM of 824, 218, 990, 436 is 44458920.

2. How to calculate the LCM of 824, 218, 990, 436?

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 824, 218, 990, 436.

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}.