Find the LCM of 867, 986, 578, 484 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 867, 986, 578, 484. So, keep reading to learn more.
Given numbers are 867,986,578,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,986,578,484 is 12169212.
Find LCM of 867,986,578,484 with Prime Factorization
2 | 867, 986, 578, 484 |
17 | 867, 493, 289, 242 |
17 | 51, 29, 17, 242 |
3, 29, 1, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 3 x 29 x 1 x 242 = 12169212
Therefore, the lowest common multiple of 867,986,578,484 is 12169212.
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.
867 x 986 x 578 x 484 = 239149354224
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.
867 : 1, 3, 17, 51, 289, 867
986 : 1, 2, 17, 29, 34, 58, 493, 986
578 : 1, 2, 17, 34, 289, 578
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,986,578,484, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
986:2x 17x 29
578:2x 17x 17
484:2x 2x 11x 11
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 17x 17x 17 = 19652
Therefore, the value for common factors is 19652.
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 = 239149354224/(1x19652)
LCM = 239149354224/19652
LCM = 12169212
Thus, we can understand that the LCM of 867,986,578,484 is 12169212.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 986, 578, 484?
Answer: LCM of 867, 986, 578, 484 is 12169212.
2. How to calculate the LCM of 867, 986, 578, 484?
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 867, 986, 578, 484.
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}.