Find the LCM of 233, 306, 442, 147 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 233, 306, 442, 147. So, keep reading to learn more.
Given numbers are 233,306,442,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,306,442,147 is 45416826.
Find LCM of 233,306,442,147 with Prime Factorization
2 | 233, 306, 442, 147 |
3 | 233, 153, 221, 147 |
17 | 233, 51, 221, 49 |
233, 3, 13, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 233 x 3 x 13 x 49 = 45416826
Therefore, the lowest common multiple of 233,306,442,147 is 45416826.
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.
233 x 306 x 442 x 147 = 4632516252
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.
233 : 1, 233
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
442 : 1, 2, 13, 17, 26, 34, 221, 442
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,306,442,147, is 1.
Now, the common factors can be found like this.
233:233
306:2x 3x 3x 17
442:2x 13x 17
147:3x 7x 7
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 17 = 102
Therefore, the value for common factors is 102.
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 = 4632516252/(1x102)
LCM = 4632516252/102
LCM = 45416826
Thus, we can understand that the LCM of 233,306,442,147 is 45416826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 233, 306, 442, 147?
Answer: LCM of 233, 306, 442, 147 is 45416826.
2. How to calculate the LCM of 233, 306, 442, 147?
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 233, 306, 442, 147.
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}.