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LCM of 551, 816, 986, 576

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


Find the LCM of 551, 816, 986, 576 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 551, 816, 986, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,816,986,576

Given numbers are 551,816,986,576

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

The LCM of 551,816,986,576 is 5395392.

Find LCM of 551,816,986,576 with Prime Factorization


2 551, 816, 986, 576
2 551, 408, 493, 288
2 551, 204, 493, 144
2 551, 102, 493, 72
3 551, 51, 493, 36
17 551, 17, 493, 12
29 551, 1, 29, 12
19, 1, 1, 12

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

2 x 2 x 2 x 2 x 3 x 17 x 29 x 19 x 1 x 1 x 12 = 5395392

Therefore, the lowest common multiple of 551,816,986,576 is 5395392.

LCM Formula to Find Lowest Common Multiple of 551,816,986,576

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.

551 x 816 x 986 x 576 = 255353112576

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.

551 : 1, 19, 29, 551

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,816,986,576, is 1.

Now, the common factors can be found like this.

551:19x 29

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

986:2x 17x 29

576:2x 2x 2x 2x 2x 2x 3x 3

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 3x 17x 29 = 47328

Therefore, the value for common factors is 47328.

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 = 255353112576/(1x47328)

LCM = 255353112576/47328

LCM = 5395392

Thus, we can understand that the LCM of 551,816,986,576 is 5395392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 816, 986, 576

1. What is the LCM of 551, 816, 986, 576?

Answer: LCM of 551, 816, 986, 576 is 5395392.

2. How to calculate the LCM of 551, 816, 986, 576?

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 551, 816, 986, 576.

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}.