LCM of 642, 328, 369, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 328, 369, 345 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 642, 328, 369, 345. So, keep reading to learn more.
Given numbers are 642,328,369,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,328,369,345 is 36324360.
Find LCM of 642,328,369,345 with Prime Factorization
| 2 | 642, 328, 369, 345 |
| 3 | 321, 164, 369, 345 |
| 41 | 107, 164, 123, 115 |
| 107, 4, 3, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 107 x 4 x 3 x 115 = 36324360
Therefore, the lowest common multiple of 642,328,369,345 is 36324360.
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.
642 x 328 x 369 x 345 = 26807377680
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
328 : 1, 2, 4, 8, 41, 82, 164, 328
369 : 1, 3, 9, 41, 123, 369
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,328,369,345, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
328:2x 2x 2x 41
369:3x 3x 41
345:3x 5x 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 3x 3x 41 = 738
Therefore, the value for common factors is 738.
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 = 26807377680/(1x738)
LCM = 26807377680/738
LCM = 36324360
Thus, we can understand that the LCM of 642,328,369,345 is 36324360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 642, 328, 369, 345
1. What is the LCM of 642, 328, 369, 345?
Answer: LCM of 642, 328, 369, 345 is 36324360.
2. How to calculate the LCM of 642, 328, 369, 345?
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 642, 328, 369, 345.
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}.