LCM of 830, 411, 936, 494, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 411, 936, 494, 144 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 830, 411, 936, 494, 144. So, keep reading to learn more.
Given numbers are 830,411,936,494,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,411,936,494,144 is 2022218640.
Find LCM of 830,411,936,494,144 with Prime Factorization
| 2 | 830, 411, 936, 494, 144 |
| 2 | 415, 411, 468, 247, 72 |
| 2 | 415, 411, 234, 247, 36 |
| 3 | 415, 411, 117, 247, 18 |
| 3 | 415, 137, 39, 247, 6 |
| 13 | 415, 137, 13, 247, 2 |
| 415, 137, 1, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 415 x 137 x 1 x 19 x 2 = 2022218640
Therefore, the lowest common multiple of 830,411,936,494,144 is 2022218640.
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.
830 x 411 x 936 x 494 x 144 = 22713559764480
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
411 : 1, 3, 137, 411
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,411,936,494,144, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
411:3x 137
936:2x 2x 2x 3x 3x 13
494:2x 13x 19
144:2x 2x 2x 2x 3x 3
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 13 = 11232
Therefore, the value for common factors is 11232.
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 = 22713559764480/(1x11232)
LCM = 22713559764480/11232
LCM = 2022218640
Thus, we can understand that the LCM of 830,411,936,494,144 is 2022218640.
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FAQs on LCM of 830, 411, 936, 494, 144
1. What is the LCM of 830, 411, 936, 494, 144?
Answer: LCM of 830, 411, 936, 494, 144 is 2022218640.
2. How to calculate the LCM of 830, 411, 936, 494, 144?
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 830, 411, 936, 494, 144.
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}.