LCM of 361, 551, 595, 435, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 551, 595, 435, 393 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 361, 551, 595, 435, 393. So, keep reading to learn more.
Given numbers are 361,551,595,435,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,551,595,435,393 is 2448018615.
Find LCM of 361,551,595,435,393 with Prime Factorization
| 3 | 361, 551, 595, 435, 393 |
| 5 | 361, 551, 595, 145, 131 |
| 19 | 361, 551, 119, 29, 131 |
| 29 | 19, 29, 119, 29, 131 |
| 19, 1, 119, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 29 x 19 x 1 x 119 x 1 x 131 = 2448018615
Therefore, the lowest common multiple of 361,551,595,435,393 is 2448018615.
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.
361 x 551 x 595 x 435 x 393 = 20232873852975
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.
361 : 1, 19, 361
551 : 1, 19, 29, 551
595 : 1, 5, 7, 17, 35, 85, 119, 595
435 : 1, 3, 5, 15, 29, 87, 145, 435
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,551,595,435,393, is 1.
Now, the common factors can be found like this.
361:19x 19
551:19x 29
595:5x 7x 17
435:3x 5x 29
393:3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19x 29 = 8265
Therefore, the value for common factors is 8265.
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 = 20232873852975/(1x8265)
LCM = 20232873852975/8265
LCM = 2448018615
Thus, we can understand that the LCM of 361,551,595,435,393 is 2448018615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 551, 595, 435, 393
1. What is the LCM of 361, 551, 595, 435, 393?
Answer: LCM of 361, 551, 595, 435, 393 is 2448018615.
2. How to calculate the LCM of 361, 551, 595, 435, 393?
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 361, 551, 595, 435, 393.
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}.