LCM of 405, 374, 654, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 374, 654, 347 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, 374, 654, 347. So, keep reading to learn more.
Given numbers are 405,374,654,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,374,654,347 is 5729049810.
Find LCM of 405,374,654,347 with Prime Factorization
| 2 | 405, 374, 654, 347 |
| 3 | 405, 187, 327, 347 |
| 135, 187, 109, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 135 x 187 x 109 x 347 = 5729049810
Therefore, the lowest common multiple of 405,374,654,347 is 5729049810.
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 374 x 654 x 347 = 34374298860
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
654 : 1, 2, 3, 6, 109, 218, 327, 654
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,374,654,347, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
374:2x 11x 17
654:2x 3x 109
347:347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 34374298860/(1x6)
LCM = 34374298860/6
LCM = 5729049810
Thus, we can understand that the LCM of 405,374,654,347 is 5729049810.
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FAQs on LCM of 405, 374, 654, 347
1. What is the LCM of 405, 374, 654, 347?
Answer: LCM of 405, 374, 654, 347 is 5729049810.
2. How to calculate the LCM of 405, 374, 654, 347?
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, 374, 654, 347.
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}.