LCM of 411, 450, 239, 576, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 450, 239, 576, 240 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 411, 450, 239, 576, 240. So, keep reading to learn more.
Given numbers are 411,450,239,576,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,450,239,576,240 is 471499200.
Find LCM of 411,450,239,576,240 with Prime Factorization
| 2 | 411, 450, 239, 576, 240 |
| 2 | 411, 225, 239, 288, 120 |
| 2 | 411, 225, 239, 144, 60 |
| 2 | 411, 225, 239, 72, 30 |
| 3 | 411, 225, 239, 36, 15 |
| 3 | 137, 75, 239, 12, 5 |
| 5 | 137, 25, 239, 4, 5 |
| 137, 1, 239, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 137 x 1 x 239 x 4 x 5 = 471499200
Therefore, the lowest common multiple of 411,450,239,576,240 is 471499200.
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.
411 x 450 x 239 x 576 x 240 = 6110629632000
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.
411 : 1, 3, 137, 411
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
239 : 1, 239
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,450,239,576,240, is 1.
Now, the common factors can be found like this.
411:3x 137
450:2x 3x 3x 5x 5
239:239
576:2x 2x 2x 2x 2x 2x 3x 3
240:2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 3x 5 = 12960
Therefore, the value for common factors is 12960.
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 = 6110629632000/(1x12960)
LCM = 6110629632000/12960
LCM = 471499200
Thus, we can understand that the LCM of 411,450,239,576,240 is 471499200.
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FAQs on LCM of 411, 450, 239, 576, 240
1. What is the LCM of 411, 450, 239, 576, 240?
Answer: LCM of 411, 450, 239, 576, 240 is 471499200.
2. How to calculate the LCM of 411, 450, 239, 576, 240?
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 411, 450, 239, 576, 240.
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}.