LCM of 104, 432, 944, 297, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 432, 944, 297, 506 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 104, 432, 944, 297, 506. So, keep reading to learn more.
Given numbers are 104,432,944,297,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,432,944,297,506 is 83830032.
Find LCM of 104,432,944,297,506 with Prime Factorization
| 2 | 104, 432, 944, 297, 506 |
| 2 | 52, 216, 472, 297, 253 |
| 2 | 26, 108, 236, 297, 253 |
| 2 | 13, 54, 118, 297, 253 |
| 3 | 13, 27, 59, 297, 253 |
| 3 | 13, 9, 59, 99, 253 |
| 3 | 13, 3, 59, 33, 253 |
| 11 | 13, 1, 59, 11, 253 |
| 13, 1, 59, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13 x 1 x 59 x 1 x 23 = 83830032
Therefore, the lowest common multiple of 104,432,944,297,506 is 83830032.
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.
104 x 432 x 944 x 297 x 506 = 6373764993024
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
297 : 1, 3, 9, 11, 27, 33, 99, 297
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,432,944,297,506, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
432:2x 2x 2x 2x 3x 3x 3
944:2x 2x 2x 2x 59
297:3x 3x 3x 11
506:2x 11x 23
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 11 = 76032
Therefore, the value for common factors is 76032.
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 = 6373764993024/(1x76032)
LCM = 6373764993024/76032
LCM = 83830032
Thus, we can understand that the LCM of 104,432,944,297,506 is 83830032.
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FAQs on LCM of 104, 432, 944, 297, 506
1. What is the LCM of 104, 432, 944, 297, 506?
Answer: LCM of 104, 432, 944, 297, 506 is 83830032.
2. How to calculate the LCM of 104, 432, 944, 297, 506?
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 104, 432, 944, 297, 506.
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}.