LCM of 936, 494, 544, 144, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 494, 544, 144, 405 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 936, 494, 544, 144, 405. So, keep reading to learn more.
Given numbers are 936,494,544,144,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,494,544,144,405 is 54419040.
Find LCM of 936,494,544,144,405 with Prime Factorization
| 2 | 936, 494, 544, 144, 405 |
| 2 | 468, 247, 272, 72, 405 |
| 2 | 234, 247, 136, 36, 405 |
| 2 | 117, 247, 68, 18, 405 |
| 3 | 117, 247, 34, 9, 405 |
| 3 | 39, 247, 34, 3, 135 |
| 13 | 13, 247, 34, 1, 45 |
| 1, 19, 34, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 13 x 1 x 19 x 34 x 1 x 45 = 54419040
Therefore, the lowest common multiple of 936,494,544,144,405 is 54419040.
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.
936 x 494 x 544 x 144 x 405 = 14669631774720
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
494 : 1, 2, 13, 19, 26, 38, 247, 494
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,494,544,144,405, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
494:2x 13x 19
544:2x 2x 2x 2x 2x 17
144:2x 2x 2x 2x 3x 3
405:3x 3x 3x 3x 5
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 3x 13 = 269568
Therefore, the value for common factors is 269568.
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 = 14669631774720/(1x269568)
LCM = 14669631774720/269568
LCM = 54419040
Thus, we can understand that the LCM of 936,494,544,144,405 is 54419040.
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FAQs on LCM of 936, 494, 544, 144, 405
1. What is the LCM of 936, 494, 544, 144, 405?
Answer: LCM of 936, 494, 544, 144, 405 is 54419040.
2. How to calculate the LCM of 936, 494, 544, 144, 405?
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 936, 494, 544, 144, 405.
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}.