Find the LCM of 465, 405, 423, 275, 299 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 465, 405, 423, 275, 299. So, keep reading to learn more.
Given numbers are 465,405,423,275,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,405,423,275,299 is 9703947825.
Find LCM of 465,405,423,275,299 with Prime Factorization
3 | 465, 405, 423, 275, 299 |
3 | 155, 135, 141, 275, 299 |
5 | 155, 45, 47, 275, 299 |
31, 9, 47, 55, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 31 x 9 x 47 x 55 x 299 = 9703947825
Therefore, the lowest common multiple of 465,405,423,275,299 is 9703947825.
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.
465 x 405 x 423 x 275 x 299 = 6550164781875
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
423 : 1, 3, 9, 47, 141, 423
275 : 1, 5, 11, 25, 55, 275
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,405,423,275,299, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
405:3x 3x 3x 3x 5
423:3x 3x 47
275:5x 5x 11
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 6550164781875/(1x675)
LCM = 6550164781875/675
LCM = 9703947825
Thus, we can understand that the LCM of 465,405,423,275,299 is 9703947825.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 465, 405, 423, 275, 299?
Answer: LCM of 465, 405, 423, 275, 299 is 9703947825.
2. How to calculate the LCM of 465, 405, 423, 275, 299?
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 465, 405, 423, 275, 299.
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}.