LCM of 280, 498, 501, 600, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 498, 501, 600, 204 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 280, 498, 501, 600, 204. So, keep reading to learn more.
Given numbers are 280,498,501,600,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,498,501,600,204 is 989675400.
Find LCM of 280,498,501,600,204 with Prime Factorization
| 2 | 280, 498, 501, 600, 204 |
| 2 | 140, 249, 501, 300, 102 |
| 2 | 70, 249, 501, 150, 51 |
| 3 | 35, 249, 501, 75, 51 |
| 5 | 35, 83, 167, 25, 17 |
| 7, 83, 167, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 83 x 167 x 5 x 17 = 989675400
Therefore, the lowest common multiple of 280,498,501,600,204 is 989675400.
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.
280 x 498 x 501 x 600 x 204 = 8550795456000
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
498 : 1, 2, 3, 6, 83, 166, 249, 498
501 : 1, 3, 167, 501
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,498,501,600,204, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
498:2x 3x 83
501:3x 167
600:2x 2x 2x 3x 5x 5
204:2x 2x 3x 17
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 3x 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 8550795456000/(1x8640)
LCM = 8550795456000/8640
LCM = 989675400
Thus, we can understand that the LCM of 280,498,501,600,204 is 989675400.
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FAQs on LCM of 280, 498, 501, 600, 204
1. What is the LCM of 280, 498, 501, 600, 204?
Answer: LCM of 280, 498, 501, 600, 204 is 989675400.
2. How to calculate the LCM of 280, 498, 501, 600, 204?
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 280, 498, 501, 600, 204.
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}.