LCM of 135, 432, 968, 440, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 432, 968, 440, 340 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, 432, 968, 440, 340. So, keep reading to learn more.
Given numbers are 135,432,968,440,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,432,968,440,340 is 4443120.
Find LCM of 135,432,968,440,340 with Prime Factorization
| 2 | 135, 432, 968, 440, 340 |
| 2 | 135, 216, 484, 220, 170 |
| 2 | 135, 108, 242, 110, 85 |
| 3 | 135, 54, 121, 55, 85 |
| 3 | 45, 18, 121, 55, 85 |
| 3 | 15, 6, 121, 55, 85 |
| 5 | 5, 2, 121, 55, 85 |
| 11 | 1, 2, 121, 11, 17 |
| 1, 2, 1, 11, 17 |
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 11 x 1 x 2 x 1 x 11 x 17 = 4443120
Therefore, the lowest common multiple of 135,432,968,440,340 is 4443120.
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 432 x 968 x 440 x 340 = 8445482496000
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,432,968,440,340, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
432:2x 2x 2x 2x 3x 3x 3
968:2x 2x 2x 11x 11
440:2x 2x 2x 5x 11
340:2x 2x 5x 17
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 2x 2x 2x 3x 3x 3x 5x 5x 11 = 1900800
Therefore, the value for common factors is 1900800.
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 = 8445482496000/(1x1900800)
LCM = 8445482496000/1900800
LCM = 4443120
Thus, we can understand that the LCM of 135,432,968,440,340 is 4443120.
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FAQs on LCM of 135, 432, 968, 440, 340
1. What is the LCM of 135, 432, 968, 440, 340?
Answer: LCM of 135, 432, 968, 440, 340 is 4443120.
2. How to calculate the LCM of 135, 432, 968, 440, 340?
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, 432, 968, 440, 340.
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}.