LCM of 960, 624, 361, 135, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 624, 361, 135, 330 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 960, 624, 361, 135, 330. So, keep reading to learn more.
Given numbers are 960,624,361,135,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,624,361,135,330 is 446022720.
Find LCM of 960,624,361,135,330 with Prime Factorization
| 2 | 960, 624, 361, 135, 330 |
| 2 | 480, 312, 361, 135, 165 |
| 2 | 240, 156, 361, 135, 165 |
| 2 | 120, 78, 361, 135, 165 |
| 3 | 60, 39, 361, 135, 165 |
| 5 | 20, 13, 361, 45, 55 |
| 4, 13, 361, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 4 x 13 x 361 x 9 x 11 = 446022720
Therefore, the lowest common multiple of 960,624,361,135,330 is 446022720.
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.
960 x 624 x 361 x 135 x 330 = 9634090752000
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
361 : 1, 19, 361
135 : 1, 3, 5, 9, 15, 27, 45, 135
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,624,361,135,330, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
624:2x 2x 2x 2x 3x 13
361:19x 19
135:3x 3x 3x 5
330:2x 3x 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 2x 2x 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 9634090752000/(1x21600)
LCM = 9634090752000/21600
LCM = 446022720
Thus, we can understand that the LCM of 960,624,361,135,330 is 446022720.
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FAQs on LCM of 960, 624, 361, 135, 330
1. What is the LCM of 960, 624, 361, 135, 330?
Answer: LCM of 960, 624, 361, 135, 330 is 446022720.
2. How to calculate the LCM of 960, 624, 361, 135, 330?
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 960, 624, 361, 135, 330.
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}.