Find the LCM of 979, 996, 356, 288 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 979, 996, 356, 288. So, keep reading to learn more.
Given numbers are 979,996,356,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,996,356,288 is 23402016.
Find LCM of 979,996,356,288 with Prime Factorization
2 | 979, 996, 356, 288 |
2 | 979, 498, 178, 144 |
3 | 979, 249, 89, 72 |
89 | 979, 83, 89, 24 |
11, 83, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 89 x 11 x 83 x 1 x 24 = 23402016
Therefore, the lowest common multiple of 979,996,356,288 is 23402016.
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.
979 x 996 x 356 x 288 = 99973412352
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.
979 : 1, 11, 89, 979
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
356 : 1, 2, 4, 89, 178, 356
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,996,356,288, is 1.
Now, the common factors can be found like this.
979:11x 89
996:2x 2x 3x 83
356:2x 2x 89
288:2x 2x 2x 2x 2x 3x 3
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 3x 89 = 4272
Therefore, the value for common factors is 4272.
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 = 99973412352/(1x4272)
LCM = 99973412352/4272
LCM = 23402016
Thus, we can understand that the LCM of 979,996,356,288 is 23402016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 996, 356, 288?
Answer: LCM of 979, 996, 356, 288 is 23402016.
2. How to calculate the LCM of 979, 996, 356, 288?
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 979, 996, 356, 288.
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}.