LCM of 455, 960, 990, 765, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 960, 990, 765, 234 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 455, 960, 990, 765, 234. So, keep reading to learn more.
Given numbers are 455,960,990,765,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,960,990,765,234 is 49008960.
Find LCM of 455,960,990,765,234 with Prime Factorization
| 2 | 455, 960, 990, 765, 234 |
| 3 | 455, 480, 495, 765, 117 |
| 3 | 455, 160, 165, 255, 39 |
| 5 | 455, 160, 55, 85, 13 |
| 13 | 91, 32, 11, 17, 13 |
| 7, 32, 11, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 7 x 32 x 11 x 17 x 1 = 49008960
Therefore, the lowest common multiple of 455,960,990,765,234 is 49008960.
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.
455 x 960 x 990 x 765 x 234 = 77409652320000
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,960,990,765,234, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
960:2x 2x 2x 2x 2x 2x 3x 5
990:2x 3x 3x 5x 11
765:3x 3x 5x 17
234:2x 3x 3x 13
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 5x 5x 13 = 1579500
Therefore, the value for common factors is 1579500.
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 = 77409652320000/(1x1579500)
LCM = 77409652320000/1579500
LCM = 49008960
Thus, we can understand that the LCM of 455,960,990,765,234 is 49008960.
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FAQs on LCM of 455, 960, 990, 765, 234
1. What is the LCM of 455, 960, 990, 765, 234?
Answer: LCM of 455, 960, 990, 765, 234 is 49008960.
2. How to calculate the LCM of 455, 960, 990, 765, 234?
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 455, 960, 990, 765, 234.
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}.