LCM of 369, 945, 930, 614, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 945, 930, 614, 198 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 369, 945, 930, 614, 198. So, keep reading to learn more.
Given numbers are 369,945,930,614,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,945,930,614,198 is 8112195630.
Find LCM of 369,945,930,614,198 with Prime Factorization
| 2 | 369, 945, 930, 614, 198 |
| 3 | 369, 945, 465, 307, 99 |
| 3 | 123, 315, 155, 307, 33 |
| 5 | 41, 105, 155, 307, 11 |
| 41, 21, 31, 307, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 21 x 31 x 307 x 11 = 8112195630
Therefore, the lowest common multiple of 369,945,930,614,198 is 8112195630.
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.
369 x 945 x 930 x 614 x 198 = 39425270761800
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.
369 : 1, 3, 9, 41, 123, 369
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
614 : 1, 2, 307, 614
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,945,930,614,198, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
945:3x 3x 3x 5x 7
930:2x 3x 5x 31
614:2x 307
198:2x 3x 3x 11
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 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 39425270761800/(1x4860)
LCM = 39425270761800/4860
LCM = 8112195630
Thus, we can understand that the LCM of 369,945,930,614,198 is 8112195630.
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FAQs on LCM of 369, 945, 930, 614, 198
1. What is the LCM of 369, 945, 930, 614, 198?
Answer: LCM of 369, 945, 930, 614, 198 is 8112195630.
2. How to calculate the LCM of 369, 945, 930, 614, 198?
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 369, 945, 930, 614, 198.
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}.