LCM of 636, 186, 396, 623, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 186, 396, 623, 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 636, 186, 396, 623, 198. So, keep reading to learn more.
Given numbers are 636,186,396,623,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,186,396,623,198 is 405341244.
Find LCM of 636,186,396,623,198 with Prime Factorization
| 2 | 636, 186, 396, 623, 198 |
| 2 | 318, 93, 198, 623, 99 |
| 3 | 159, 93, 99, 623, 99 |
| 3 | 53, 31, 33, 623, 33 |
| 11 | 53, 31, 11, 623, 11 |
| 53, 31, 1, 623, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 53 x 31 x 1 x 623 x 1 = 405341244
Therefore, the lowest common multiple of 636,186,396,623,198 is 405341244.
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.
636 x 186 x 396 x 623 x 198 = 5778544774464
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
186 : 1, 2, 3, 6, 31, 62, 93, 186
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
623 : 1, 7, 89, 623
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 636,186,396,623,198, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
186:2x 3x 31
396:2x 2x 3x 3x 11
623:7x 89
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 2x 2x 3x 3x 3x 3x 11 = 14256
Therefore, the value for common factors is 14256.
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 = 5778544774464/(1x14256)
LCM = 5778544774464/14256
LCM = 405341244
Thus, we can understand that the LCM of 636,186,396,623,198 is 405341244.
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FAQs on LCM of 636, 186, 396, 623, 198
1. What is the LCM of 636, 186, 396, 623, 198?
Answer: LCM of 636, 186, 396, 623, 198 is 405341244.
2. How to calculate the LCM of 636, 186, 396, 623, 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 636, 186, 396, 623, 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}.