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LCM of 604, 816, 816, 811

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


Find the LCM of 604, 816, 816, 811 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 604, 816, 816, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,816,816,811

Given numbers are 604,816,816,811

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

The LCM of 604,816,816,811 is 99928176.

Find LCM of 604,816,816,811 with Prime Factorization


2 604, 816, 816, 811
2 302, 408, 408, 811
2 151, 204, 204, 811
2 151, 102, 102, 811
3 151, 51, 51, 811
17 151, 17, 17, 811
151, 1, 1, 811

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

2 x 2 x 2 x 2 x 3 x 17 x 151 x 1 x 1 x 811 = 99928176

Therefore, the lowest common multiple of 604,816,816,811 is 99928176.

LCM Formula to Find Lowest Common Multiple of 604,816,816,811

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.

604 x 816 x 816 x 811 = 326165566464

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.

604 : 1, 2, 4, 151, 302, 604

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

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

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,816,816,811, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

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

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

811:811

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 2x 2x 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 326165566464/(1x3264)

LCM = 326165566464/3264

LCM = 99928176

Thus, we can understand that the LCM of 604,816,816,811 is 99928176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 816, 816, 811

1. What is the LCM of 604, 816, 816, 811?

Answer: LCM of 604, 816, 816, 811 is 99928176.

2. How to calculate the LCM of 604, 816, 816, 811?

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 604, 816, 816, 811.

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}.