LCM of 642, 908, 681, 648, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 908, 681, 648, 727 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, 908, 681, 648, 727. So, keep reading to learn more.
Given numbers are 642,908,681,648,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,908,681,648,727 is 11442450744.
Find LCM of 642,908,681,648,727 with Prime Factorization
| 2 | 642, 908, 681, 648, 727 |
| 2 | 321, 454, 681, 324, 727 |
| 3 | 321, 227, 681, 162, 727 |
| 227 | 107, 227, 227, 54, 727 |
| 107, 1, 1, 54, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 227 x 107 x 1 x 1 x 54 x 727 = 11442450744
Therefore, the lowest common multiple of 642,908,681,648,727 is 11442450744.
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 908 x 681 x 648 x 727 = 187015414959936
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
908 : 1, 2, 4, 227, 454, 908
681 : 1, 3, 227, 681
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,908,681,648,727, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
908:2x 2x 227
681:3x 227
648:2x 2x 2x 3x 3x 3x 3
727:727
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 227 = 16344
Therefore, the value for common factors is 16344.
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 = 187015414959936/(1x16344)
LCM = 187015414959936/16344
LCM = 11442450744
Thus, we can understand that the LCM of 642,908,681,648,727 is 11442450744.
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, 908, 681, 648, 727
1. What is the LCM of 642, 908, 681, 648, 727?
Answer: LCM of 642, 908, 681, 648, 727 is 11442450744.
2. How to calculate the LCM of 642, 908, 681, 648, 727?
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, 908, 681, 648, 727.
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}.