LCM of 112, 663, 686, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 663, 686, 432 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, 663, 686, 432. So, keep reading to learn more.
Given numbers are 112,663,686,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,663,686,432 is 32746896.
Find LCM of 112,663,686,432 with Prime Factorization
| 2 | 112, 663, 686, 432 |
| 2 | 56, 663, 343, 216 |
| 2 | 28, 663, 343, 108 |
| 2 | 14, 663, 343, 54 |
| 3 | 7, 663, 343, 27 |
| 7 | 7, 221, 343, 9 |
| 1, 221, 49, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 1 x 221 x 49 x 9 = 32746896
Therefore, the lowest common multiple of 112,663,686,432 is 32746896.
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 663 x 686 x 432 = 22005914112
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
686 : 1, 2, 7, 14, 49, 98, 343, 686
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,663,686,432, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
663:3x 13x 17
686:2x 7x 7x 7
432:2x 2x 2x 2x 3x 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 7 = 672
Therefore, the value for common factors is 672.
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 = 22005914112/(1x672)
LCM = 22005914112/672
LCM = 32746896
Thus, we can understand that the LCM of 112,663,686,432 is 32746896.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 112, 663, 686, 432
1. What is the LCM of 112, 663, 686, 432?
Answer: LCM of 112, 663, 686, 432 is 32746896.
2. How to calculate the LCM of 112, 663, 686, 432?
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, 663, 686, 432.
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}.