Find the LCM of 982, 288, 772, 416, 778 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 982, 288, 772, 416, 778. So, keep reading to learn more.
Given numbers are 982,288,772,416,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,288,772,416,778 is 138014349408.
Find LCM of 982,288,772,416,778 with Prime Factorization
2 | 982, 288, 772, 416, 778 |
2 | 491, 144, 386, 208, 389 |
2 | 491, 72, 193, 104, 389 |
2 | 491, 36, 193, 52, 389 |
2 | 491, 18, 193, 26, 389 |
491, 9, 193, 13, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 491 x 9 x 193 x 13 x 389 = 138014349408
Therefore, the lowest common multiple of 982,288,772,416,778 is 138014349408.
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.
982 x 288 x 772 x 416 x 778 = 70663346896896
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.
982 : 1, 2, 491, 982
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
772 : 1, 2, 4, 193, 386, 772
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
778 : 1, 2, 389, 778
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,288,772,416,778, is 2.
Now, the common factors can be found like this.
982:2x 491
288:2x 2x 2x 2x 2x 3x 3
772:2x 2x 193
416:2x 2x 2x 2x 2x 13
778:2x 389
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 = 70663346896896/(2x256)
LCM = 70663346896896/512
LCM = 138014349408
Thus, we can understand that the LCM of 982,288,772,416,778 is 138014349408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 982, 288, 772, 416, 778?
Answer: LCM of 982, 288, 772, 416, 778 is 138014349408.
2. How to calculate the LCM of 982, 288, 772, 416, 778?
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 982, 288, 772, 416, 778.
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}.