LCM of 357, 311, 126, 676, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 311, 126, 676, 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 357, 311, 126, 676, 432. So, keep reading to learn more.
Given numbers are 357,311,126,676,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,311,126,676,432 is 2701953072.
Find LCM of 357,311,126,676,432 with Prime Factorization
| 2 | 357, 311, 126, 676, 432 |
| 2 | 357, 311, 63, 338, 216 |
| 3 | 357, 311, 63, 169, 108 |
| 3 | 119, 311, 21, 169, 36 |
| 7 | 119, 311, 7, 169, 12 |
| 17, 311, 1, 169, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 17 x 311 x 1 x 169 x 12 = 2701953072
Therefore, the lowest common multiple of 357,311,126,676,432 is 2701953072.
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.
357 x 311 x 126 x 676 x 432 = 4085353044864
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
311 : 1, 311
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
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 357,311,126,676,432, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
311:311
126:2x 3x 3x 7
676:2x 2x 13x 13
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 4085353044864/(1x1512)
LCM = 4085353044864/1512
LCM = 2701953072
Thus, we can understand that the LCM of 357,311,126,676,432 is 2701953072.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 357, 311, 126, 676, 432
1. What is the LCM of 357, 311, 126, 676, 432?
Answer: LCM of 357, 311, 126, 676, 432 is 2701953072.
2. How to calculate the LCM of 357, 311, 126, 676, 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 357, 311, 126, 676, 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}.