Find the LCM of 969, 885, 986, 802, 304 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 969, 885, 986, 802, 304. So, keep reading to learn more.
Given numbers are 969,885,986,802,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,885,986,802,304 is 53187324720.
Find LCM of 969,885,986,802,304 with Prime Factorization
2 | 969, 885, 986, 802, 304 |
3 | 969, 885, 493, 401, 152 |
17 | 323, 295, 493, 401, 152 |
19 | 19, 295, 29, 401, 152 |
1, 295, 29, 401, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 295 x 29 x 401 x 8 = 53187324720
Therefore, the lowest common multiple of 969,885,986,802,304 is 53187324720.
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.
969 x 885 x 986 x 802 x 304 = 206154070614720
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
885 : 1, 3, 5, 15, 59, 177, 295, 885
986 : 1, 2, 17, 29, 34, 58, 493, 986
802 : 1, 2, 401, 802
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,885,986,802,304, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
885:3x 5x 59
986:2x 17x 29
802:2x 401
304:2x 2x 2x 2x 19
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 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 206154070614720/(1x3876)
LCM = 206154070614720/3876
LCM = 53187324720
Thus, we can understand that the LCM of 969,885,986,802,304 is 53187324720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 885, 986, 802, 304?
Answer: LCM of 969, 885, 986, 802, 304 is 53187324720.
2. How to calculate the LCM of 969, 885, 986, 802, 304?
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 969, 885, 986, 802, 304.
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}.