Find the LCM of 810, 749, 378, 828, 249 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 810, 749, 378, 828, 249. So, keep reading to learn more.
Given numbers are 810,749,378,828,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,749,378,828,249 is 2316342420.
Find LCM of 810,749,378,828,249 with Prime Factorization
2 | 810, 749, 378, 828, 249 |
3 | 405, 749, 189, 414, 249 |
3 | 135, 749, 63, 138, 83 |
3 | 45, 749, 21, 46, 83 |
7 | 15, 749, 7, 46, 83 |
15, 107, 1, 46, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 15 x 107 x 1 x 46 x 83 = 2316342420
Therefore, the lowest common multiple of 810,749,378,828,249 is 2316342420.
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.
810 x 749 x 378 x 828 x 249 = 47281181477040
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
749 : 1, 7, 107, 749
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,749,378,828,249, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
749:7x 107
378:2x 3x 3x 3x 7
828:2x 2x 3x 3x 23
249:3x 83
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 3x 3x 3x 3x 7 = 20412
Therefore, the value for common factors is 20412.
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 = 47281181477040/(1x20412)
LCM = 47281181477040/20412
LCM = 2316342420
Thus, we can understand that the LCM of 810,749,378,828,249 is 2316342420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 749, 378, 828, 249?
Answer: LCM of 810, 749, 378, 828, 249 is 2316342420.
2. How to calculate the LCM of 810, 749, 378, 828, 249?
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 810, 749, 378, 828, 249.
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}.