Find the LCM of 422, 579, 132, 965, 185 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 422, 579, 132, 965, 185. So, keep reading to learn more.
Given numbers are 422,579,132,965,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,579,132,965,185 is 994455660.
Find LCM of 422,579,132,965,185 with Prime Factorization
2 | 422, 579, 132, 965, 185 |
3 | 211, 579, 66, 965, 185 |
5 | 211, 193, 22, 965, 185 |
193 | 211, 193, 22, 193, 37 |
211, 1, 22, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 193 x 211 x 1 x 22 x 1 x 37 = 994455660
Therefore, the lowest common multiple of 422,579,132,965,185 is 994455660.
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.
422 x 579 x 132 x 965 x 185 = 5757898271400
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.
422 : 1, 2, 211, 422
579 : 1, 3, 193, 579
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
965 : 1, 5, 193, 965
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,579,132,965,185, is 1.
Now, the common factors can be found like this.
422:2x 211
579:3x 193
132:2x 2x 3x 11
965:5x 193
185:5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 193 = 5790
Therefore, the value for common factors is 5790.
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 = 5757898271400/(1x5790)
LCM = 5757898271400/5790
LCM = 994455660
Thus, we can understand that the LCM of 422,579,132,965,185 is 994455660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 579, 132, 965, 185?
Answer: LCM of 422, 579, 132, 965, 185 is 994455660.
2. How to calculate the LCM of 422, 579, 132, 965, 185?
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 422, 579, 132, 965, 185.
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}.