LCM of 396, 699, 360, 548, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 699, 360, 548, 678 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 396, 699, 360, 548, 678. So, keep reading to learn more.
Given numbers are 396,699,360,548,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,699,360,548,678 is 14284009080.
Find LCM of 396,699,360,548,678 with Prime Factorization
| 2 | 396, 699, 360, 548, 678 |
| 2 | 198, 699, 180, 274, 339 |
| 3 | 99, 699, 90, 137, 339 |
| 3 | 33, 233, 30, 137, 113 |
| 11, 233, 10, 137, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 233 x 10 x 137 x 113 = 14284009080
Therefore, the lowest common multiple of 396,699,360,548,678 is 14284009080.
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.
396 x 699 x 360 x 548 x 678 = 37024151535360
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
699 : 1, 3, 233, 699
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
548 : 1, 2, 4, 137, 274, 548
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,699,360,548,678, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
699:3x 233
360:2x 2x 2x 3x 3x 5
548:2x 2x 137
678:2x 3x 113
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 2x 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 37024151535360/(1x2592)
LCM = 37024151535360/2592
LCM = 14284009080
Thus, we can understand that the LCM of 396,699,360,548,678 is 14284009080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 396, 699, 360, 548, 678
1. What is the LCM of 396, 699, 360, 548, 678?
Answer: LCM of 396, 699, 360, 548, 678 is 14284009080.
2. How to calculate the LCM of 396, 699, 360, 548, 678?
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 396, 699, 360, 548, 678.
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}.