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LCM of 551, 533, 964, 819

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


Find the LCM of 551, 533, 964, 819 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, 533, 964, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,533,964,819

Given numbers are 551,533,964,819

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

The LCM of 551,533,964,819 is 17835955956.

Find LCM of 551,533,964,819 with Prime Factorization


13 551, 533, 964, 819
551, 41, 964, 63

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

13 x 551 x 41 x 964 x 63 = 17835955956

Therefore, the lowest common multiple of 551,533,964,819 is 17835955956.

LCM Formula to Find Lowest Common Multiple of 551,533,964,819

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 533 x 964 x 819 = 231867427428

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

533 : 1, 13, 41, 533

964 : 1, 2, 4, 241, 482, 964

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,533,964,819, is 1.

Now, the common factors can be found like this.

551:19x 29

533:13x 41

964:2x 2x 241

819:3x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 231867427428/(1x13)

LCM = 231867427428/13

LCM = 17835955956

Thus, we can understand that the LCM of 551,533,964,819 is 17835955956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 533, 964, 819

1. What is the LCM of 551, 533, 964, 819?

Answer: LCM of 551, 533, 964, 819 is 17835955956.

2. How to calculate the LCM of 551, 533, 964, 819?

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, 533, 964, 819.

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}.