LCM of 135, 240, 999, 438, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 240, 999, 438, 518 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 135, 240, 999, 438, 518. So, keep reading to learn more.
Given numbers are 135,240,999,438,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,240,999,438,518 is 40839120.
Find LCM of 135,240,999,438,518 with Prime Factorization
| 2 | 135, 240, 999, 438, 518 |
| 3 | 135, 120, 999, 219, 259 |
| 3 | 45, 40, 333, 73, 259 |
| 3 | 15, 40, 111, 73, 259 |
| 5 | 5, 40, 37, 73, 259 |
| 37 | 1, 8, 37, 73, 259 |
| 1, 8, 1, 73, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 37 x 1 x 8 x 1 x 73 x 7 = 40839120
Therefore, the lowest common multiple of 135,240,999,438,518 is 40839120.
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.
135 x 240 x 999 x 438 x 518 = 7343690558400
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
999 : 1, 3, 9, 27, 37, 111, 333, 999
438 : 1, 2, 3, 6, 73, 146, 219, 438
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,240,999,438,518, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
240:2x 2x 2x 2x 3x 5
999:3x 3x 3x 37
438:2x 3x 73
518:2x 7x 37
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 3x 3x 3x 3x 3x 5x 37 = 179820
Therefore, the value for common factors is 179820.
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 = 7343690558400/(1x179820)
LCM = 7343690558400/179820
LCM = 40839120
Thus, we can understand that the LCM of 135,240,999,438,518 is 40839120.
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FAQs on LCM of 135, 240, 999, 438, 518
1. What is the LCM of 135, 240, 999, 438, 518?
Answer: LCM of 135, 240, 999, 438, 518 is 40839120.
2. How to calculate the LCM of 135, 240, 999, 438, 518?
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 135, 240, 999, 438, 518.
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}.