LCM of 405, 174, 493, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 174, 493, 346 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 405, 174, 493, 346. So, keep reading to learn more.
Given numbers are 405,174,493,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,174,493,346 is 69084090.
Find LCM of 405,174,493,346 with Prime Factorization
| 2 | 405, 174, 493, 346 |
| 3 | 405, 87, 493, 173 |
| 29 | 135, 29, 493, 173 |
| 135, 1, 17, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 135 x 1 x 17 x 173 = 69084090
Therefore, the lowest common multiple of 405,174,493,346 is 69084090.
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.
405 x 174 x 493 x 346 = 12020631660
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
174 : 1, 2, 3, 6, 29, 58, 87, 174
493 : 1, 17, 29, 493
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,174,493,346, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
174:2x 3x 29
493:17x 29
346:2x 173
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 29 = 174
Therefore, the value for common factors is 174.
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 = 12020631660/(1x174)
LCM = 12020631660/174
LCM = 69084090
Thus, we can understand that the LCM of 405,174,493,346 is 69084090.
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FAQs on LCM of 405, 174, 493, 346
1. What is the LCM of 405, 174, 493, 346?
Answer: LCM of 405, 174, 493, 346 is 69084090.
2. How to calculate the LCM of 405, 174, 493, 346?
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 405, 174, 493, 346.
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}.