LCM of 405, 390, 672, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 390, 672, 759 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, 390, 672, 759. So, keep reading to learn more.
Given numbers are 405,390,672,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,390,672,759 is 298378080.
Find LCM of 405,390,672,759 with Prime Factorization
| 2 | 405, 390, 672, 759 |
| 3 | 405, 195, 336, 759 |
| 5 | 135, 65, 112, 253 |
| 27, 13, 112, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 27 x 13 x 112 x 253 = 298378080
Therefore, the lowest common multiple of 405,390,672,759 is 298378080.
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 390 x 672 x 759 = 80562081600
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
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
759 : 1, 3, 11, 23, 33, 69, 253, 759
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,390,672,759, is 3.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
390:2x 3x 5x 13
672:2x 2x 2x 2x 2x 3x 7
759:3x 11x 23
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 80562081600/(3x90)
LCM = 80562081600/270
LCM = 298378080
Thus, we can understand that the LCM of 405,390,672,759 is 298378080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 390, 672, 759
1. What is the LCM of 405, 390, 672, 759?
Answer: LCM of 405, 390, 672, 759 is 298378080.
2. How to calculate the LCM of 405, 390, 672, 759?
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, 390, 672, 759.
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}.