Find the LCM of 693, 286, 196, 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 693, 286, 196, 484. So, keep reading to learn more.
Given numbers are 693,286,196,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,286,196,484 is 2774772.
Find LCM of 693,286,196,484 with Prime Factorization
2 | 693, 286, 196, 484 |
2 | 693, 143, 98, 242 |
7 | 693, 143, 49, 121 |
11 | 99, 143, 7, 121 |
9, 13, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 9 x 13 x 7 x 11 = 2774772
Therefore, the lowest common multiple of 693,286,196,484 is 2774772.
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.
693 x 286 x 196 x 484 = 18801855072
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
286 : 1, 2, 11, 13, 22, 26, 143, 286
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
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 693,286,196,484, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
286:2x 11x 13
196:2x 2x 7x 7
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 2x 7x 11x 11 = 6776
Therefore, the value for common factors is 6776.
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 = 18801855072/(1x6776)
LCM = 18801855072/6776
LCM = 2774772
Thus, we can understand that the LCM of 693,286,196,484 is 2774772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 693, 286, 196, 484?
Answer: LCM of 693, 286, 196, 484 is 2774772.
2. How to calculate the LCM of 693, 286, 196, 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 693, 286, 196, 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}.