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LCM of 884, 234, 629, 351, 228

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


Find the LCM of 884, 234, 629, 351, 228 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 884, 234, 629, 351, 228. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,234,629,351,228

Given numbers are 884,234,629,351,228

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

The LCM of 884,234,629,351,228 is 16779204.

Find LCM of 884,234,629,351,228 with Prime Factorization


2 884, 234, 629, 351, 228
2 442, 117, 629, 351, 114
3 221, 117, 629, 351, 57
3 221, 39, 629, 117, 19
13 221, 13, 629, 39, 19
17 17, 1, 629, 3, 19
1, 1, 37, 3, 19

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

2 x 2 x 3 x 3 x 13 x 17 x 1 x 1 x 37 x 3 x 19 = 16779204

Therefore, the lowest common multiple of 884,234,629,351,228 is 16779204.

LCM Formula to Find Lowest Common Multiple of 884,234,629,351,228

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.

884 x 234 x 629 x 351 x 228 = 10412637067872

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

629 : 1, 17, 37, 629

351 : 1, 3, 9, 13, 27, 39, 117, 351

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,234,629,351,228, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

234:2x 3x 3x 13

629:17x 37

351:3x 3x 3x 13

228:2x 2x 3x 19

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 3x 13x 13x 17 = 620568

Therefore, the value for common factors is 620568.

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 = 10412637067872/(1x620568)

LCM = 10412637067872/620568

LCM = 16779204

Thus, we can understand that the LCM of 884,234,629,351,228 is 16779204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 234, 629, 351, 228

1. What is the LCM of 884, 234, 629, 351, 228?

Answer: LCM of 884, 234, 629, 351, 228 is 16779204.

2. How to calculate the LCM of 884, 234, 629, 351, 228?

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 884, 234, 629, 351, 228.

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}.