LCM of 582, 506, 200, 850, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 506, 200, 850, 549 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 582, 506, 200, 850, 549. So, keep reading to learn more.
Given numbers are 582,506,200,850,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,506,200,850,549 is 45808230600.
Find LCM of 582,506,200,850,549 with Prime Factorization
| 2 | 582, 506, 200, 850, 549 |
| 3 | 291, 253, 100, 425, 549 |
| 5 | 97, 253, 100, 425, 183 |
| 5 | 97, 253, 20, 85, 183 |
| 97, 253, 4, 17, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 97 x 253 x 4 x 17 x 183 = 45808230600
Therefore, the lowest common multiple of 582,506,200,850,549 is 45808230600.
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.
582 x 506 x 200 x 850 x 549 = 27484938360000
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
506 : 1, 2, 11, 22, 23, 46, 253, 506
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,506,200,850,549, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
506:2x 11x 23
200:2x 2x 2x 5x 5
850:2x 5x 5x 17
549:3x 3x 61
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 27484938360000/(1x600)
LCM = 27484938360000/600
LCM = 45808230600
Thus, we can understand that the LCM of 582,506,200,850,549 is 45808230600.
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FAQs on LCM of 582, 506, 200, 850, 549
1. What is the LCM of 582, 506, 200, 850, 549?
Answer: LCM of 582, 506, 200, 850, 549 is 45808230600.
2. How to calculate the LCM of 582, 506, 200, 850, 549?
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 582, 506, 200, 850, 549.
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}.