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LCM of 816, 425, 182, 892

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


Find the LCM of 816, 425, 182, 892 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 816, 425, 182, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,425,182,892

Given numbers are 816,425,182,892

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

The LCM of 816,425,182,892 is 413977200.

Find LCM of 816,425,182,892 with Prime Factorization


2 816, 425, 182, 892
2 408, 425, 91, 446
17 204, 425, 91, 223
12, 25, 91, 223

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

2 x 2 x 17 x 12 x 25 x 91 x 223 = 413977200

Therefore, the lowest common multiple of 816,425,182,892 is 413977200.

LCM Formula to Find Lowest Common Multiple of 816,425,182,892

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.

816 x 425 x 182 x 892 = 56300899200

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.

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

425 : 1, 5, 17, 25, 85, 425

182 : 1, 2, 7, 13, 14, 26, 91, 182

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,425,182,892, is 1.

Now, the common factors can be found like this.

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

425:5x 5x 17

182:2x 7x 13

892:2x 2x 223

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 17 = 136

Therefore, the value for common factors is 136.

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 = 56300899200/(1x136)

LCM = 56300899200/136

LCM = 413977200

Thus, we can understand that the LCM of 816,425,182,892 is 413977200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 425, 182, 892

1. What is the LCM of 816, 425, 182, 892?

Answer: LCM of 816, 425, 182, 892 is 413977200.

2. How to calculate the LCM of 816, 425, 182, 892?

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 816, 425, 182, 892.

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}.