Find the LCM of 248, 877, 416, 144, 826 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 248, 877, 416, 144, 826. So, keep reading to learn more.
Given numbers are 248,877,416,144,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,877,416,144,826 is 42038496864.
Find LCM of 248,877,416,144,826 with Prime Factorization
2 | 248, 877, 416, 144, 826 |
2 | 124, 877, 208, 72, 413 |
2 | 62, 877, 104, 36, 413 |
2 | 31, 877, 52, 18, 413 |
31, 877, 26, 9, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 31 x 877 x 26 x 9 x 413 = 42038496864
Therefore, the lowest common multiple of 248,877,416,144,826 is 42038496864.
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.
248 x 877 x 416 x 144 x 826 = 10761855197184
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
877 : 1, 877
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,877,416,144,826, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
877:877
416:2x 2x 2x 2x 2x 13
144:2x 2x 2x 2x 3x 3
826:2x 7x 59
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 10761855197184/(1x256)
LCM = 10761855197184/256
LCM = 42038496864
Thus, we can understand that the LCM of 248,877,416,144,826 is 42038496864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 877, 416, 144, 826?
Answer: LCM of 248, 877, 416, 144, 826 is 42038496864.
2. How to calculate the LCM of 248, 877, 416, 144, 826?
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 248, 877, 416, 144, 826.
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}.