LCM of 408, 880, 466, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 880, 466, 495 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 408, 880, 466, 495. So, keep reading to learn more.
Given numbers are 408,880,466,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,880,466,495 is 31371120.
Find LCM of 408,880,466,495 with Prime Factorization
| 2 | 408, 880, 466, 495 |
| 2 | 204, 440, 233, 495 |
| 2 | 102, 220, 233, 495 |
| 3 | 51, 110, 233, 495 |
| 5 | 17, 110, 233, 165 |
| 11 | 17, 22, 233, 33 |
| 17, 2, 233, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 17 x 2 x 233 x 3 = 31371120
Therefore, the lowest common multiple of 408,880,466,495 is 31371120.
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.
408 x 880 x 466 x 495 = 82819756800
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
466 : 1, 2, 233, 466
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,880,466,495, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
880:2x 2x 2x 2x 5x 11
466:2x 233
495:3x 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 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
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 = 82819756800/(1x2640)
LCM = 82819756800/2640
LCM = 31371120
Thus, we can understand that the LCM of 408,880,466,495 is 31371120.
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FAQs on LCM of 408, 880, 466, 495
1. What is the LCM of 408, 880, 466, 495?
Answer: LCM of 408, 880, 466, 495 is 31371120.
2. How to calculate the LCM of 408, 880, 466, 495?
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 408, 880, 466, 495.
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}.