LCM of 549, 998, 611, 909, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 998, 611, 909, 324 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, 998, 611, 909, 324. So, keep reading to learn more.
Given numbers are 549,998,611,909,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,998,611,909,324 is 608608445796.
Find LCM of 549,998,611,909,324 with Prime Factorization
| 2 | 549, 998, 611, 909, 324 |
| 3 | 549, 499, 611, 909, 162 |
| 3 | 183, 499, 611, 303, 54 |
| 61, 499, 611, 101, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 61 x 499 x 611 x 101 x 18 = 608608445796
Therefore, the lowest common multiple of 549,998,611,909,324 is 608608445796.
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 998 x 611 x 909 x 324 = 98594568218952
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
998 : 1, 2, 499, 998
611 : 1, 13, 47, 611
909 : 1, 3, 9, 101, 303, 909
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,998,611,909,324, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
998:2x 499
611:13x 47
909:3x 3x 101
324:2x 2x 3x 3x 3x 3
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 3 = 162
Therefore, the value for common factors is 162.
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 = 98594568218952/(1x162)
LCM = 98594568218952/162
LCM = 608608445796
Thus, we can understand that the LCM of 549,998,611,909,324 is 608608445796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 998, 611, 909, 324
1. What is the LCM of 549, 998, 611, 909, 324?
Answer: LCM of 549, 998, 611, 909, 324 is 608608445796.
2. How to calculate the LCM of 549, 998, 611, 909, 324?
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, 998, 611, 909, 324.
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}.