LCM of 243, 824, 480, 540, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 824, 480, 540, 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 243, 824, 480, 540, 549. So, keep reading to learn more.
Given numbers are 243,824,480,540,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,824,480,540,549 is 244283040.
Find LCM of 243,824,480,540,549 with Prime Factorization
| 2 | 243, 824, 480, 540, 549 |
| 2 | 243, 412, 240, 270, 549 |
| 2 | 243, 206, 120, 135, 549 |
| 3 | 243, 103, 60, 135, 549 |
| 3 | 81, 103, 20, 45, 183 |
| 3 | 27, 103, 20, 15, 61 |
| 5 | 9, 103, 20, 5, 61 |
| 9, 103, 4, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 5 x 9 x 103 x 4 x 1 x 61 = 244283040
Therefore, the lowest common multiple of 243,824,480,540,549 is 244283040.
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.
243 x 824 x 480 x 540 x 549 = 28493173785600
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.
243 : 1, 3, 9, 27, 81, 243
824 : 1, 2, 4, 8, 103, 206, 412, 824
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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 243,824,480,540,549, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
824:2x 2x 2x 103
480:2x 2x 2x 2x 2x 3x 5
540:2x 2x 3x 3x 3x 5
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 2x 2x 3x 3x 3x 3x 3x 3x 5 = 116640
Therefore, the value for common factors is 116640.
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 = 28493173785600/(1x116640)
LCM = 28493173785600/116640
LCM = 244283040
Thus, we can understand that the LCM of 243,824,480,540,549 is 244283040.
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FAQs on LCM of 243, 824, 480, 540, 549
1. What is the LCM of 243, 824, 480, 540, 549?
Answer: LCM of 243, 824, 480, 540, 549 is 244283040.
2. How to calculate the LCM of 243, 824, 480, 540, 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 243, 824, 480, 540, 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}.