Find the LCM of 211, 597, 671, 633, 429 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 211, 597, 671, 633, 429. So, keep reading to learn more.
Given numbers are 211,597,671,633,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,597,671,633,429 is 1098810141.
Find LCM of 211,597,671,633,429 with Prime Factorization
3 | 211, 597, 671, 633, 429 |
11 | 211, 199, 671, 211, 143 |
211 | 211, 199, 61, 211, 13 |
1, 199, 61, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 211 x 1 x 199 x 61 x 1 x 13 = 1098810141
Therefore, the lowest common multiple of 211,597,671,633,429 is 1098810141.
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.
211 x 597 x 671 x 633 x 429 = 22953045035349
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.
211 : 1, 211
597 : 1, 3, 199, 597
671 : 1, 11, 61, 671
633 : 1, 3, 211, 633
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,597,671,633,429, is 1.
Now, the common factors can be found like this.
211:211
597:3x 199
671:11x 61
633:3x 211
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 211 = 20889
Therefore, the value for common factors is 20889.
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 = 22953045035349/(1x20889)
LCM = 22953045035349/20889
LCM = 1098810141
Thus, we can understand that the LCM of 211,597,671,633,429 is 1098810141.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 597, 671, 633, 429?
Answer: LCM of 211, 597, 671, 633, 429 is 1098810141.
2. How to calculate the LCM of 211, 597, 671, 633, 429?
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 211, 597, 671, 633, 429.
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}.