Find the LCM of 765, 797, 385, 135, 454 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 765, 797, 385, 135, 454. So, keep reading to learn more.
Given numbers are 765,797,385,135,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,797,385,135,454 is 63942202170.
Find LCM of 765,797,385,135,454 with Prime Factorization
3 | 765, 797, 385, 135, 454 |
3 | 255, 797, 385, 45, 454 |
5 | 85, 797, 385, 15, 454 |
17, 797, 77, 3, 454 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 797 x 77 x 3 x 454 = 63942202170
Therefore, the lowest common multiple of 765,797,385,135,454 is 63942202170.
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.
765 x 797 x 385 x 135 x 454 = 14386995488250
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
797 : 1, 797
385 : 1, 5, 7, 11, 35, 55, 77, 385
135 : 1, 3, 5, 9, 15, 27, 45, 135
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,797,385,135,454, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
797:797
385:5x 7x 11
135:3x 3x 3x 5
454:2x 227
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 14386995488250/(1x225)
LCM = 14386995488250/225
LCM = 63942202170
Thus, we can understand that the LCM of 765,797,385,135,454 is 63942202170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 797, 385, 135, 454?
Answer: LCM of 765, 797, 385, 135, 454 is 63942202170.
2. How to calculate the LCM of 765, 797, 385, 135, 454?
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 765, 797, 385, 135, 454.
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}.