LCM of 112, 232, 603, 832, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 232, 603, 832, 494 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 112, 232, 603, 832, 494. So, keep reading to learn more.
Given numbers are 112,232,603,832,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,232,603,832,494 is 1935041472.
Find LCM of 112,232,603,832,494 with Prime Factorization
| 2 | 112, 232, 603, 832, 494 |
| 2 | 56, 116, 603, 416, 247 |
| 2 | 28, 58, 603, 208, 247 |
| 2 | 14, 29, 603, 104, 247 |
| 13 | 7, 29, 603, 52, 247 |
| 7, 29, 603, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 7 x 29 x 603 x 4 x 19 = 1935041472
Therefore, the lowest common multiple of 112,232,603,832,494 is 1935041472.
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.
112 x 232 x 603 x 832 x 494 = 6439818018816
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
232 : 1, 2, 4, 8, 29, 58, 116, 232
603 : 1, 3, 9, 67, 201, 603
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,232,603,832,494, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
232:2x 2x 2x 29
603:3x 3x 67
832:2x 2x 2x 2x 2x 2x 13
494:2x 13x 19
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 13 = 3328
Therefore, the value for common factors is 3328.
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 = 6439818018816/(1x3328)
LCM = 6439818018816/3328
LCM = 1935041472
Thus, we can understand that the LCM of 112,232,603,832,494 is 1935041472.
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FAQs on LCM of 112, 232, 603, 832, 494
1. What is the LCM of 112, 232, 603, 832, 494?
Answer: LCM of 112, 232, 603, 832, 494 is 1935041472.
2. How to calculate the LCM of 112, 232, 603, 832, 494?
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 112, 232, 603, 832, 494.
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}.