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LCM of 765, 806, 474, 646, 816

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


Find the LCM of 765, 806, 474, 646, 816 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 765, 806, 474, 646, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,806,474,646,816

Given numbers are 765,806,474,646,816

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

The LCM of 765,806,474,646,816 is 7404012720.

Find LCM of 765,806,474,646,816 with Prime Factorization


2 765, 806, 474, 646, 816
3 765, 403, 237, 323, 408
17 255, 403, 79, 323, 136
15, 403, 79, 19, 8

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

2 x 3 x 17 x 15 x 403 x 79 x 19 x 8 = 7404012720

Therefore, the lowest common multiple of 765,806,474,646,816 is 7404012720.

LCM Formula to Find Lowest Common Multiple of 765,806,474,646,816

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.

765 x 806 x 474 x 646 x 816 = 154062696677760

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

806 : 1, 2, 13, 26, 31, 62, 403, 806

474 : 1, 2, 3, 6, 79, 158, 237, 474

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,806,474,646,816, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

806:2x 13x 31

474:2x 3x 79

646:2x 17x 19

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

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 3x 17x 17 = 20808

Therefore, the value for common factors is 20808.

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 = 154062696677760/(1x20808)

LCM = 154062696677760/20808

LCM = 7404012720

Thus, we can understand that the LCM of 765,806,474,646,816 is 7404012720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 806, 474, 646, 816

1. What is the LCM of 765, 806, 474, 646, 816?

Answer: LCM of 765, 806, 474, 646, 816 is 7404012720.

2. How to calculate the LCM of 765, 806, 474, 646, 816?

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 765, 806, 474, 646, 816.

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}.