LCM of 235, 408, 409, 135, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 408, 409, 135, 440 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 235, 408, 409, 135, 440. So, keep reading to learn more.
Given numbers are 235,408,409,135,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,408,409,135,440 is 3882277080.
Find LCM of 235,408,409,135,440 with Prime Factorization
| 2 | 235, 408, 409, 135, 440 |
| 2 | 235, 204, 409, 135, 220 |
| 2 | 235, 102, 409, 135, 110 |
| 3 | 235, 51, 409, 135, 55 |
| 5 | 235, 17, 409, 45, 55 |
| 47, 17, 409, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 47 x 17 x 409 x 9 x 11 = 3882277080
Therefore, the lowest common multiple of 235,408,409,135,440 is 3882277080.
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.
235 x 408 x 409 x 135 x 440 = 2329366248000
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.
235 : 1, 5, 47, 235
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
409 : 1, 409
135 : 1, 3, 5, 9, 15, 27, 45, 135
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,408,409,135,440, is 1.
Now, the common factors can be found like this.
235:5x 47
408:2x 2x 2x 3x 17
409:409
135:3x 3x 3x 5
440:2x 2x 2x 5x 11
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 = 2329366248000/(1x600)
LCM = 2329366248000/600
LCM = 3882277080
Thus, we can understand that the LCM of 235,408,409,135,440 is 3882277080.
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FAQs on LCM of 235, 408, 409, 135, 440
1. What is the LCM of 235, 408, 409, 135, 440?
Answer: LCM of 235, 408, 409, 135, 440 is 3882277080.
2. How to calculate the LCM of 235, 408, 409, 135, 440?
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 235, 408, 409, 135, 440.
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}.