Find the LCM of 321, 179, 450, 159 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 321, 179, 450, 159. So, keep reading to learn more.
Given numbers are 321,179,450,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,179,450,159 is 456799050.
Find LCM of 321,179,450,159 with Prime Factorization
3 | 321, 179, 450, 159 |
107, 179, 150, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 179 x 150 x 53 = 456799050
Therefore, the lowest common multiple of 321,179,450,159 is 456799050.
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.
321 x 179 x 450 x 159 = 4111191450
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.
321 : 1, 3, 107, 321
179 : 1, 179
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,179,450,159, is 1.
Now, the common factors can be found like this.
321:3x 107
179:179
450:2x 3x 3x 5x 5
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 4111191450/(1x9)
LCM = 4111191450/9
LCM = 456799050
Thus, we can understand that the LCM of 321,179,450,159 is 456799050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 179, 450, 159?
Answer: LCM of 321, 179, 450, 159 is 456799050.
2. How to calculate the LCM of 321, 179, 450, 159?
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 321, 179, 450, 159.
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}.