LCM of 551, 525, 311, 361, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 525, 311, 361, 349 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 551, 525, 311, 361, 349. So, keep reading to learn more.
Given numbers are 551,525,311,361,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,525,311,361,349 is 596554765275.
Find LCM of 551,525,311,361,349 with Prime Factorization
| 19 | 551, 525, 311, 361, 349 |
| 29, 525, 311, 19, 349 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 525 x 311 x 19 x 349 = 596554765275
Therefore, the lowest common multiple of 551,525,311,361,349 is 596554765275.
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.
551 x 525 x 311 x 361 x 349 = 11334540540225
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.
551 : 1, 19, 29, 551
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
311 : 1, 311
361 : 1, 19, 361
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,525,311,361,349, is 1.
Now, the common factors can be found like this.
551:19x 29
525:3x 5x 5x 7
311:311
361:19x 19
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 11334540540225/(1x19)
LCM = 11334540540225/19
LCM = 596554765275
Thus, we can understand that the LCM of 551,525,311,361,349 is 596554765275.
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FAQs on LCM of 551, 525, 311, 361, 349
1. What is the LCM of 551, 525, 311, 361, 349?
Answer: LCM of 551, 525, 311, 361, 349 is 596554765275.
2. How to calculate the LCM of 551, 525, 311, 361, 349?
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 551, 525, 311, 361, 349.
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}.