LCM of 228, 538, 300, 765, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 538, 300, 765, 816 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, 538, 300, 765, 816. So, keep reading to learn more.
Given numbers are 228,538,300,765,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,538,300,765,816 is 312793200.
Find LCM of 228,538,300,765,816 with Prime Factorization
| 2 | 228, 538, 300, 765, 816 |
| 2 | 114, 269, 150, 765, 408 |
| 3 | 57, 269, 75, 765, 204 |
| 5 | 19, 269, 25, 255, 68 |
| 17 | 19, 269, 5, 51, 68 |
| 19, 269, 5, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 19 x 269 x 5 x 3 x 4 = 312793200
Therefore, the lowest common multiple of 228,538,300,765,816 is 312793200.
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 538 x 300 x 765 x 816 = 22971532608000
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
538 : 1, 2, 269, 538
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,538,300,765,816, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
538:2x 269
300:2x 2x 3x 5x 5
765:3x 3x 5x 17
816:2x 2x 2x 2x 3x 17
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 3x 3x 5x 17 = 73440
Therefore, the value for common factors is 73440.
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 = 22971532608000/(1x73440)
LCM = 22971532608000/73440
LCM = 312793200
Thus, we can understand that the LCM of 228,538,300,765,816 is 312793200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 538, 300, 765, 816
1. What is the LCM of 228, 538, 300, 765, 816?
Answer: LCM of 228, 538, 300, 765, 816 is 312793200.
2. How to calculate the LCM of 228, 538, 300, 765, 816?
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, 538, 300, 765, 816.
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}.