LCM of 538, 120, 165, 580, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 120, 165, 580, 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 538, 120, 165, 580, 349. So, keep reading to learn more.
Given numbers are 538,120,165,580,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,120,165,580,349 is 3593764680.
Find LCM of 538,120,165,580,349 with Prime Factorization
| 2 | 538, 120, 165, 580, 349 |
| 2 | 269, 60, 165, 290, 349 |
| 3 | 269, 30, 165, 145, 349 |
| 5 | 269, 10, 55, 145, 349 |
| 269, 2, 11, 29, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 269 x 2 x 11 x 29 x 349 = 3593764680
Therefore, the lowest common multiple of 538,120,165,580,349 is 3593764680.
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.
538 x 120 x 165 x 580 x 349 = 2156258808000
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.
538 : 1, 2, 269, 538
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
165 : 1, 3, 5, 11, 15, 33, 55, 165
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,120,165,580,349, is 1.
Now, the common factors can be found like this.
538:2x 269
120:2x 2x 2x 3x 5
165:3x 5x 11
580:2x 2x 5x 29
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.
2x 2x 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 2156258808000/(1x600)
LCM = 2156258808000/600
LCM = 3593764680
Thus, we can understand that the LCM of 538,120,165,580,349 is 3593764680.
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FAQs on LCM of 538, 120, 165, 580, 349
1. What is the LCM of 538, 120, 165, 580, 349?
Answer: LCM of 538, 120, 165, 580, 349 is 3593764680.
2. How to calculate the LCM of 538, 120, 165, 580, 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 538, 120, 165, 580, 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}.