LCM of 600, 458, 560, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 458, 560, 576 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 600, 458, 560, 576. So, keep reading to learn more.
Given numbers are 600,458,560,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,458,560,576 is 23083200.
Find LCM of 600,458,560,576 with Prime Factorization
| 2 | 600, 458, 560, 576 |
| 2 | 300, 229, 280, 288 |
| 2 | 150, 229, 140, 144 |
| 2 | 75, 229, 70, 72 |
| 3 | 75, 229, 35, 36 |
| 5 | 25, 229, 35, 12 |
| 5, 229, 7, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 229 x 7 x 12 = 23083200
Therefore, the lowest common multiple of 600,458,560,576 is 23083200.
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.
600 x 458 x 560 x 576 = 88639488000
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
458 : 1, 2, 229, 458
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,458,560,576, is 2.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
458:2x 229
560:2x 2x 2x 2x 5x 7
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 88639488000/(2x1920)
LCM = 88639488000/3840
LCM = 23083200
Thus, we can understand that the LCM of 600,458,560,576 is 23083200.
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FAQs on LCM of 600, 458, 560, 576
1. What is the LCM of 600, 458, 560, 576?
Answer: LCM of 600, 458, 560, 576 is 23083200.
2. How to calculate the LCM of 600, 458, 560, 576?
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 600, 458, 560, 576.
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}.