LCM of 622, 494, 444, 858, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 494, 444, 858, 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 622, 494, 444, 858, 495. So, keep reading to learn more.
Given numbers are 622,494,444,858,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,494,444,858,495 is 5627613420.
Find LCM of 622,494,444,858,495 with Prime Factorization
| 2 | 622, 494, 444, 858, 495 |
| 3 | 311, 247, 222, 429, 495 |
| 11 | 311, 247, 74, 143, 165 |
| 13 | 311, 247, 74, 13, 15 |
| 311, 19, 74, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 311 x 19 x 74 x 1 x 15 = 5627613420
Therefore, the lowest common multiple of 622,494,444,858,495 is 5627613420.
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.
622 x 494 x 444 x 858 x 495 = 57941907772320
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.
622 : 1, 2, 311, 622
494 : 1, 2, 13, 19, 26, 38, 247, 494
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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 622,494,444,858,495, is 1.
Now, the common factors can be found like this.
622:2x 311
494:2x 13x 19
444:2x 2x 3x 37
858:2x 3x 11x 13
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 3x 3x 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 57941907772320/(1x10296)
LCM = 57941907772320/10296
LCM = 5627613420
Thus, we can understand that the LCM of 622,494,444,858,495 is 5627613420.
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FAQs on LCM of 622, 494, 444, 858, 495
1. What is the LCM of 622, 494, 444, 858, 495?
Answer: LCM of 622, 494, 444, 858, 495 is 5627613420.
2. How to calculate the LCM of 622, 494, 444, 858, 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 622, 494, 444, 858, 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}.