LCM of 227, 315, 693, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 315, 693, 963 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 227, 315, 693, 963. So, keep reading to learn more.
Given numbers are 227,315,693,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,315,693,963 is 84161385.
Find LCM of 227,315,693,963 with Prime Factorization
| 3 | 227, 315, 693, 963 |
| 3 | 227, 105, 231, 321 |
| 7 | 227, 35, 77, 107 |
| 227, 5, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 227 x 5 x 11 x 107 = 84161385
Therefore, the lowest common multiple of 227,315,693,963 is 84161385.
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.
227 x 315 x 693 x 963 = 47719505295
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.
227 : 1, 227
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,315,693,963, is 1.
Now, the common factors can be found like this.
227:227
315:3x 3x 5x 7
693:3x 3x 7x 11
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 47719505295/(1x567)
LCM = 47719505295/567
LCM = 84161385
Thus, we can understand that the LCM of 227,315,693,963 is 84161385.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 315, 693, 963
1. What is the LCM of 227, 315, 693, 963?
Answer: LCM of 227, 315, 693, 963 is 84161385.
2. How to calculate the LCM of 227, 315, 693, 963?
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 227, 315, 693, 963.
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}.