LCM of 570, 458, 500, 849, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 458, 500, 849, 444 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 570, 458, 500, 849, 444. So, keep reading to learn more.
Given numbers are 570,458,500,849,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,458,500,849,444 is 68338981500.
Find LCM of 570,458,500,849,444 with Prime Factorization
| 2 | 570, 458, 500, 849, 444 |
| 2 | 285, 229, 250, 849, 222 |
| 3 | 285, 229, 125, 849, 111 |
| 5 | 95, 229, 125, 283, 37 |
| 19, 229, 25, 283, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 229 x 25 x 283 x 37 = 68338981500
Therefore, the lowest common multiple of 570,458,500,849,444 is 68338981500.
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.
570 x 458 x 500 x 849 x 444 = 49204066680000
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
458 : 1, 2, 229, 458
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
849 : 1, 3, 283, 849
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,458,500,849,444, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
458:2x 229
500:2x 2x 5x 5x 5
849:3x 283
444:2x 2x 3x 37
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 49204066680000/(1x720)
LCM = 49204066680000/720
LCM = 68338981500
Thus, we can understand that the LCM of 570,458,500,849,444 is 68338981500.
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FAQs on LCM of 570, 458, 500, 849, 444
1. What is the LCM of 570, 458, 500, 849, 444?
Answer: LCM of 570, 458, 500, 849, 444 is 68338981500.
2. How to calculate the LCM of 570, 458, 500, 849, 444?
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 570, 458, 500, 849, 444.
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}.