LCM of 549, 633, 900, 310, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 633, 900, 310, 305 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 549, 633, 900, 310, 305. So, keep reading to learn more.
Given numbers are 549,633,900,310,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,633,900,310,305 is 359100900.
Find LCM of 549,633,900,310,305 with Prime Factorization
| 2 | 549, 633, 900, 310, 305 |
| 3 | 549, 633, 450, 155, 305 |
| 3 | 183, 211, 150, 155, 305 |
| 5 | 61, 211, 50, 155, 305 |
| 61 | 61, 211, 10, 31, 61 |
| 1, 211, 10, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 61 x 1 x 211 x 10 x 31 x 1 = 359100900
Therefore, the lowest common multiple of 549,633,900,310,305 is 359100900.
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.
549 x 633 x 900 x 310 x 305 = 29571959115000
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.
549 : 1, 3, 9, 61, 183, 549
633 : 1, 3, 211, 633
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
310 : 1, 2, 5, 10, 31, 62, 155, 310
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,633,900,310,305, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
633:3x 211
900:2x 2x 3x 3x 5x 5
310:2x 5x 31
305:5x 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 3x 3x 3x 5x 5x 61 = 82350
Therefore, the value for common factors is 82350.
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 = 29571959115000/(1x82350)
LCM = 29571959115000/82350
LCM = 359100900
Thus, we can understand that the LCM of 549,633,900,310,305 is 359100900.
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FAQs on LCM of 549, 633, 900, 310, 305
1. What is the LCM of 549, 633, 900, 310, 305?
Answer: LCM of 549, 633, 900, 310, 305 is 359100900.
2. How to calculate the LCM of 549, 633, 900, 310, 305?
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 549, 633, 900, 310, 305.
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}.