LCM of 576, 385, 630, 505, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 385, 630, 505, 982 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 576, 385, 630, 505, 982. So, keep reading to learn more.
Given numbers are 576,385,630,505,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,385,630,505,982 is 10997300160.
Find LCM of 576,385,630,505,982 with Prime Factorization
| 2 | 576, 385, 630, 505, 982 |
| 3 | 288, 385, 315, 505, 491 |
| 3 | 96, 385, 105, 505, 491 |
| 5 | 32, 385, 35, 505, 491 |
| 7 | 32, 77, 7, 101, 491 |
| 32, 11, 1, 101, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 32 x 11 x 1 x 101 x 491 = 10997300160
Therefore, the lowest common multiple of 576,385,630,505,982 is 10997300160.
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.
576 x 385 x 630 x 505 x 982 = 69282991008000
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
385 : 1, 5, 7, 11, 35, 55, 77, 385
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
505 : 1, 5, 101, 505
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,385,630,505,982, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
385:5x 7x 11
630:2x 3x 3x 5x 7
505:5x 101
982:2x 491
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 3x 3x 5x 5x 7 = 6300
Therefore, the value for common factors is 6300.
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 = 69282991008000/(1x6300)
LCM = 69282991008000/6300
LCM = 10997300160
Thus, we can understand that the LCM of 576,385,630,505,982 is 10997300160.
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FAQs on LCM of 576, 385, 630, 505, 982
1. What is the LCM of 576, 385, 630, 505, 982?
Answer: LCM of 576, 385, 630, 505, 982 is 10997300160.
2. How to calculate the LCM of 576, 385, 630, 505, 982?
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 576, 385, 630, 505, 982.
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}.