Find the LCM of 220, 822, 385, 331 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 220, 822, 385, 331. So, keep reading to learn more.
Given numbers are 220,822,385,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,822,385,331 is 209503140.
Find LCM of 220,822,385,331 with Prime Factorization
2 | 220, 822, 385, 331 |
5 | 110, 411, 385, 331 |
11 | 22, 411, 77, 331 |
2, 411, 7, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 2 x 411 x 7 x 331 = 209503140
Therefore, the lowest common multiple of 220,822,385,331 is 209503140.
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.
220 x 822 x 385 x 331 = 23045345400
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
822 : 1, 2, 3, 6, 137, 274, 411, 822
385 : 1, 5, 7, 11, 35, 55, 77, 385
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,822,385,331, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
822:2x 3x 137
385:5x 7x 11
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 23045345400/(1x110)
LCM = 23045345400/110
LCM = 209503140
Thus, we can understand that the LCM of 220,822,385,331 is 209503140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 822, 385, 331?
Answer: LCM of 220, 822, 385, 331 is 209503140.
2. How to calculate the LCM of 220, 822, 385, 331?
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 220, 822, 385, 331.
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}.