LCM of 983, 600, 930, 288, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 600, 930, 288, 270 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 983, 600, 930, 288, 270. So, keep reading to learn more.
Given numbers are 983,600,930,288,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,600,930,288,270 is 658216800.
Find LCM of 983,600,930,288,270 with Prime Factorization
| 2 | 983, 600, 930, 288, 270 |
| 2 | 983, 300, 465, 144, 135 |
| 2 | 983, 150, 465, 72, 135 |
| 3 | 983, 75, 465, 36, 135 |
| 3 | 983, 25, 155, 12, 45 |
| 5 | 983, 25, 155, 4, 15 |
| 983, 5, 31, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 983 x 5 x 31 x 4 x 3 = 658216800
Therefore, the lowest common multiple of 983,600,930,288,270 is 658216800.
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.
983 x 600 x 930 x 288 x 270 = 42652448640000
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.
983 : 1, 983
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
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,600,930,288,270, is 1.
Now, the common factors can be found like this.
983:983
600:2x 2x 2x 3x 5x 5
930:2x 3x 5x 31
288:2x 2x 2x 2x 2x 3x 3
270:2x 3x 3x 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 5x 5 = 64800
Therefore, the value for common factors is 64800.
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 = 42652448640000/(1x64800)
LCM = 42652448640000/64800
LCM = 658216800
Thus, we can understand that the LCM of 983,600,930,288,270 is 658216800.
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FAQs on LCM of 983, 600, 930, 288, 270
1. What is the LCM of 983, 600, 930, 288, 270?
Answer: LCM of 983, 600, 930, 288, 270 is 658216800.
2. How to calculate the LCM of 983, 600, 930, 288, 270?
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 983, 600, 930, 288, 270.
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}.