LCM of 642, 339, 214, 628, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 339, 214, 628, 945 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, 339, 214, 628, 945. So, keep reading to learn more.
Given numbers are 642,339,214,628,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,339,214,628,945 is 7175524860.
Find LCM of 642,339,214,628,945 with Prime Factorization
| 2 | 642, 339, 214, 628, 945 |
| 3 | 321, 339, 107, 314, 945 |
| 107 | 107, 113, 107, 314, 315 |
| 1, 113, 1, 314, 315 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 1 x 113 x 1 x 314 x 315 = 7175524860
Therefore, the lowest common multiple of 642,339,214,628,945 is 7175524860.
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 339 x 214 x 628 x 945 = 27640121760720
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
339 : 1, 3, 113, 339
214 : 1, 2, 107, 214
628 : 1, 2, 4, 157, 314, 628
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,339,214,628,945, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
339:3x 113
214:2x 107
628:2x 2x 157
945:3x 3x 3x 5x 7
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 3x 3x 107 = 3852
Therefore, the value for common factors is 3852.
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 = 27640121760720/(1x3852)
LCM = 27640121760720/3852
LCM = 7175524860
Thus, we can understand that the LCM of 642,339,214,628,945 is 7175524860.
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, 339, 214, 628, 945
1. What is the LCM of 642, 339, 214, 628, 945?
Answer: LCM of 642, 339, 214, 628, 945 is 7175524860.
2. How to calculate the LCM of 642, 339, 214, 628, 945?
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, 339, 214, 628, 945.
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}.