Find the LCM of 687, 583, 950, 727, 882 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 687, 583, 950, 727, 882. So, keep reading to learn more.
Given numbers are 687,583,950,727,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,583,950,727,882 is 40663114811550.
Find LCM of 687,583,950,727,882 with Prime Factorization
2 | 687, 583, 950, 727, 882 |
3 | 687, 583, 475, 727, 441 |
229, 583, 475, 727, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 583 x 475 x 727 x 147 = 40663114811550
Therefore, the lowest common multiple of 687,583,950,727,882 is 40663114811550.
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.
687 x 583 x 950 x 727 x 882 = 243978688869300
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.
687 : 1, 3, 229, 687
583 : 1, 11, 53, 583
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
727 : 1, 727
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,583,950,727,882, is 1.
Now, the common factors can be found like this.
687:3x 229
583:11x 53
950:2x 5x 5x 19
727:727
882:2x 3x 3x 7x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 243978688869300/(1x6)
LCM = 243978688869300/6
LCM = 40663114811550
Thus, we can understand that the LCM of 687,583,950,727,882 is 40663114811550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 583, 950, 727, 882?
Answer: LCM of 687, 583, 950, 727, 882 is 40663114811550.
2. How to calculate the LCM of 687, 583, 950, 727, 882?
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 687, 583, 950, 727, 882.
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}.