Find the LCM of 717, 315, 138, 469, 132 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 717, 315, 138, 469, 132. So, keep reading to learn more.
Given numbers are 717,315,138,469,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,315,138,469,132 is 5104624140.
Find LCM of 717,315,138,469,132 with Prime Factorization
2 | 717, 315, 138, 469, 132 |
3 | 717, 315, 69, 469, 66 |
7 | 239, 105, 23, 469, 22 |
239, 15, 23, 67, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 239 x 15 x 23 x 67 x 22 = 5104624140
Therefore, the lowest common multiple of 717,315,138,469,132 is 5104624140.
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.
717 x 315 x 138 x 469 x 132 = 1929547924920
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.
717 : 1, 3, 239, 717
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
138 : 1, 2, 3, 6, 23, 46, 69, 138
469 : 1, 7, 67, 469
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,315,138,469,132, is 1.
Now, the common factors can be found like this.
717:3x 239
315:3x 3x 5x 7
138:2x 3x 23
469:7x 67
132:2x 2x 3x 11
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 7 = 378
Therefore, the value for common factors is 378.
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 = 1929547924920/(1x378)
LCM = 1929547924920/378
LCM = 5104624140
Thus, we can understand that the LCM of 717,315,138,469,132 is 5104624140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 315, 138, 469, 132?
Answer: LCM of 717, 315, 138, 469, 132 is 5104624140.
2. How to calculate the LCM of 717, 315, 138, 469, 132?
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 717, 315, 138, 469, 132.
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}.