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LCM of 229, 869, 363, 138, 869

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


Find the LCM of 229, 869, 363, 138, 869 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 229, 869, 363, 138, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,869,363,138,869

Given numbers are 229,869,363,138,869

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

The LCM of 229,869,363,138,869 is 302083518.

Find LCM of 229,869,363,138,869 with Prime Factorization


3 229, 869, 363, 138, 869
11 229, 869, 121, 46, 869
79 229, 79, 11, 46, 79
229, 1, 11, 46, 1

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

3 x 11 x 79 x 229 x 1 x 11 x 46 x 1 = 302083518

Therefore, the lowest common multiple of 229,869,363,138,869 is 302083518.

LCM Formula to Find Lowest Common Multiple of 229,869,363,138,869

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.

229 x 869 x 363 x 138 x 869 = 8662849045686

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.

229 : 1, 229

869 : 1, 11, 79, 869

363 : 1, 3, 11, 33, 121, 363

138 : 1, 2, 3, 6, 23, 46, 69, 138

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,869,363,138,869, is 1.

Now, the common factors can be found like this.

229:229

869:11x 79

363:3x 11x 11

138:2x 3x 23

869:11x 79

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

3x 11x 11x 79 = 28677

Therefore, the value for common factors is 28677.

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 = 8662849045686/(1x28677)

LCM = 8662849045686/28677

LCM = 302083518

Thus, we can understand that the LCM of 229,869,363,138,869 is 302083518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 869, 363, 138, 869

1. What is the LCM of 229, 869, 363, 138, 869?

Answer: LCM of 229, 869, 363, 138, 869 is 302083518.

2. How to calculate the LCM of 229, 869, 363, 138, 869?

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 229, 869, 363, 138, 869.

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}.