Find the LCM of 699, 996, 426, 215, 332 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 699, 996, 426, 215, 332. So, keep reading to learn more.
Given numbers are 699,996,426,215,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,996,426,215,332 is 3542518020.
Find LCM of 699,996,426,215,332 with Prime Factorization
2 | 699, 996, 426, 215, 332 |
2 | 699, 498, 213, 215, 166 |
3 | 699, 249, 213, 215, 83 |
83 | 233, 83, 71, 215, 83 |
233, 1, 71, 215, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 233 x 1 x 71 x 215 x 1 = 3542518020
Therefore, the lowest common multiple of 699,996,426,215,332 is 3542518020.
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.
699 x 996 x 426 x 215 x 332 = 21170087687520
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.
699 : 1, 3, 233, 699
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
426 : 1, 2, 3, 6, 71, 142, 213, 426
215 : 1, 5, 43, 215
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,996,426,215,332, is 1.
Now, the common factors can be found like this.
699:3x 233
996:2x 2x 3x 83
426:2x 3x 71
215:5x 43
332:2x 2x 83
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 3x 3x 83 = 5976
Therefore, the value for common factors is 5976.
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 = 21170087687520/(1x5976)
LCM = 21170087687520/5976
LCM = 3542518020
Thus, we can understand that the LCM of 699,996,426,215,332 is 3542518020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 699, 996, 426, 215, 332?
Answer: LCM of 699, 996, 426, 215, 332 is 3542518020.
2. How to calculate the LCM of 699, 996, 426, 215, 332?
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 699, 996, 426, 215, 332.
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}.