Find the LCM of 699, 378, 324, 871 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 699, 378, 324, 871. So, keep reading to learn more.
Given numbers are 699,378,324,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,378,324,871 is 460274724.
Find LCM of 699,378,324,871 with Prime Factorization
2 | 699, 378, 324, 871 |
3 | 699, 189, 162, 871 |
3 | 233, 63, 54, 871 |
3 | 233, 21, 18, 871 |
233, 7, 6, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 233 x 7 x 6 x 871 = 460274724
Therefore, the lowest common multiple of 699,378,324,871 is 460274724.
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.
699 x 378 x 324 x 871 = 74564505288
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.
699 : 1, 3, 233, 699
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,378,324,871, is 1.
Now, the common factors can be found like this.
699:3x 233
378:2x 3x 3x 3x 7
324:2x 2x 3x 3x 3x 3
871:13x 67
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 74564505288/(1x162)
LCM = 74564505288/162
LCM = 460274724
Thus, we can understand that the LCM of 699,378,324,871 is 460274724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 699, 378, 324, 871?
Answer: LCM of 699, 378, 324, 871 is 460274724.
2. How to calculate the LCM of 699, 378, 324, 871?
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 699, 378, 324, 871.
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}.