Find the LCM of 278, 289, 403, 144, 816 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 278, 289, 403, 144, 816. So, keep reading to learn more.
Given numbers are 278,289,403,144,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,289,403,144,816 is 2331203472.
Find LCM of 278,289,403,144,816 with Prime Factorization
2 | 278, 289, 403, 144, 816 |
2 | 139, 289, 403, 72, 408 |
2 | 139, 289, 403, 36, 204 |
2 | 139, 289, 403, 18, 102 |
3 | 139, 289, 403, 9, 51 |
17 | 139, 289, 403, 3, 17 |
139, 1, 403, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 139 x 1 x 403 x 3 x 17 = 2331203472
Therefore, the lowest common multiple of 278,289,403,144,816 is 2331203472.
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.
278 x 289 x 403 x 144 x 816 = 3804524066304
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.
278 : 1, 2, 139, 278
289 : 1, 17, 289
403 : 1, 13, 31, 403
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,289,403,144,816, is 1.
Now, the common factors can be found like this.
278:2x 139
289:17x 17
403:13x 31
144:2x 2x 2x 2x 3x 3
816:2x 2x 2x 2x 3x 17
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 17 = 1632
Therefore, the value for common factors is 1632.
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 = 3804524066304/(1x1632)
LCM = 3804524066304/1632
LCM = 2331203472
Thus, we can understand that the LCM of 278,289,403,144,816 is 2331203472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 289, 403, 144, 816?
Answer: LCM of 278, 289, 403, 144, 816 is 2331203472.
2. How to calculate the LCM of 278, 289, 403, 144, 816?
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 278, 289, 403, 144, 816.
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}.