LCM of 396, 551, 143, 398, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 551, 143, 398, 195 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 396, 551, 143, 398, 195. So, keep reading to learn more.
Given numbers are 396,551,143,398,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,551,143,398,195 is 2822365260.
Find LCM of 396,551,143,398,195 with Prime Factorization
| 2 | 396, 551, 143, 398, 195 |
| 3 | 198, 551, 143, 199, 195 |
| 11 | 66, 551, 143, 199, 65 |
| 13 | 6, 551, 13, 199, 65 |
| 6, 551, 1, 199, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 6 x 551 x 1 x 199 x 5 = 2822365260
Therefore, the lowest common multiple of 396,551,143,398,195 is 2822365260.
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.
396 x 551 x 143 x 398 x 195 = 2421589393080
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
551 : 1, 19, 29, 551
143 : 1, 11, 13, 143
398 : 1, 2, 199, 398
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,551,143,398,195, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
551:19x 29
143:11x 13
398:2x 199
195:3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 2421589393080/(1x858)
LCM = 2421589393080/858
LCM = 2822365260
Thus, we can understand that the LCM of 396,551,143,398,195 is 2822365260.
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FAQs on LCM of 396, 551, 143, 398, 195
1. What is the LCM of 396, 551, 143, 398, 195?
Answer: LCM of 396, 551, 143, 398, 195 is 2822365260.
2. How to calculate the LCM of 396, 551, 143, 398, 195?
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 396, 551, 143, 398, 195.
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}.