LCM of 301, 450, 289, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 450, 289, 578 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 301, 450, 289, 578. So, keep reading to learn more.
Given numbers are 301,450,289,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,450,289,578 is 39145050.
Find LCM of 301,450,289,578 with Prime Factorization
| 2 | 301, 450, 289, 578 |
| 17 | 301, 225, 289, 289 |
| 17 | 301, 225, 17, 17 |
| 301, 225, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 301 x 225 x 1 x 1 = 39145050
Therefore, the lowest common multiple of 301,450,289,578 is 39145050.
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.
301 x 450 x 289 x 578 = 22625838900
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.
301 : 1, 7, 43, 301
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
289 : 1, 17, 289
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,450,289,578, is 1.
Now, the common factors can be found like this.
301:7x 43
450:2x 3x 3x 5x 5
289:17x 17
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 22625838900/(1x578)
LCM = 22625838900/578
LCM = 39145050
Thus, we can understand that the LCM of 301,450,289,578 is 39145050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 301, 450, 289, 578
1. What is the LCM of 301, 450, 289, 578?
Answer: LCM of 301, 450, 289, 578 is 39145050.
2. How to calculate the LCM of 301, 450, 289, 578?
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 301, 450, 289, 578.
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}.