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LCM of 228, 531, 930, 302, 817

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


Find the LCM of 228, 531, 930, 302, 817 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 228, 531, 930, 302, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 228,531,930,302,817

Given numbers are 228,531,930,302,817

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

The LCM of 228,531,930,302,817 is 40614883740.

Find LCM of 228,531,930,302,817 with Prime Factorization


2 228, 531, 930, 302, 817
3 114, 531, 465, 151, 817
19 38, 177, 155, 151, 817
2, 177, 155, 151, 43

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

2 x 3 x 19 x 2 x 177 x 155 x 151 x 43 = 40614883740

Therefore, the lowest common multiple of 228,531,930,302,817 is 40614883740.

LCM Formula to Find Lowest Common Multiple of 228,531,930,302,817

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.

228 x 531 x 930 x 302 x 817 = 27780580478160

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.

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

531 : 1, 3, 9, 59, 177, 531

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

302 : 1, 2, 151, 302

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,531,930,302,817, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

531:3x 3x 59

930:2x 3x 5x 31

302:2x 151

817:19x 43

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 3x 3x 19 = 684

Therefore, the value for common factors is 684.

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 = 27780580478160/(1x684)

LCM = 27780580478160/684

LCM = 40614883740

Thus, we can understand that the LCM of 228,531,930,302,817 is 40614883740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 228, 531, 930, 302, 817

1. What is the LCM of 228, 531, 930, 302, 817?

Answer: LCM of 228, 531, 930, 302, 817 is 40614883740.

2. How to calculate the LCM of 228, 531, 930, 302, 817?

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 228, 531, 930, 302, 817.

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}.