Find the LCM of 717, 338, 858, 748, 463 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, 338, 858, 748, 463. So, keep reading to learn more.
Given numbers are 717,338,858,748,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,338,858,748,463 is 41965118052.
Find LCM of 717,338,858,748,463 with Prime Factorization
2 | 717, 338, 858, 748, 463 |
3 | 717, 169, 429, 374, 463 |
11 | 239, 169, 143, 374, 463 |
13 | 239, 169, 13, 34, 463 |
239, 1, 13, 34, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 239 x 1 x 13 x 34 x 463 = 41965118052
Therefore, the lowest common multiple of 717,338,858,748,463 is 41965118052.
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 338 x 858 x 748 x 463 = 72012142577232
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
338 : 1, 2, 13, 26, 169, 338
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,338,858,748,463, is 1.
Now, the common factors can be found like this.
717:3x 239
338:2x 13x 13
858:2x 3x 11x 13
748:2x 2x 11x 17
463:463
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 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 72012142577232/(1x1716)
LCM = 72012142577232/1716
LCM = 41965118052
Thus, we can understand that the LCM of 717,338,858,748,463 is 41965118052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 338, 858, 748, 463?
Answer: LCM of 717, 338, 858, 748, 463 is 41965118052.
2. How to calculate the LCM of 717, 338, 858, 748, 463?
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, 338, 858, 748, 463.
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}.