LCM of 300, 666, 765, 768, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 666, 765, 768, 422 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 300, 666, 765, 768, 422. So, keep reading to learn more.
Given numbers are 300,666,765,768,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,666,765,768,422 is 7644614400.
Find LCM of 300,666,765,768,422 with Prime Factorization
| 2 | 300, 666, 765, 768, 422 |
| 2 | 150, 333, 765, 384, 211 |
| 3 | 75, 333, 765, 192, 211 |
| 3 | 25, 111, 255, 64, 211 |
| 5 | 25, 37, 85, 64, 211 |
| 5, 37, 17, 64, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 37 x 17 x 64 x 211 = 7644614400
Therefore, the lowest common multiple of 300,666,765,768,422 is 7644614400.
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.
300 x 666 x 765 x 768 x 422 = 49537101312000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,666,765,768,422, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
666:2x 3x 3x 37
765:3x 3x 5x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
422:2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 49537101312000/(1x6480)
LCM = 49537101312000/6480
LCM = 7644614400
Thus, we can understand that the LCM of 300,666,765,768,422 is 7644614400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 300, 666, 765, 768, 422
1. What is the LCM of 300, 666, 765, 768, 422?
Answer: LCM of 300, 666, 765, 768, 422 is 7644614400.
2. How to calculate the LCM of 300, 666, 765, 768, 422?
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 300, 666, 765, 768, 422.
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}.