Find the LCM of 717, 798, 403, 882, 676 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, 798, 403, 882, 676. So, keep reading to learn more.
Given numbers are 717,798,403,882,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,798,403,882,676 is 41966087436.
Find LCM of 717,798,403,882,676 with Prime Factorization
2 | 717, 798, 403, 882, 676 |
3 | 717, 399, 403, 441, 338 |
7 | 239, 133, 403, 147, 338 |
13 | 239, 19, 403, 21, 338 |
239, 19, 31, 21, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 239 x 19 x 31 x 21 x 26 = 41966087436
Therefore, the lowest common multiple of 717,798,403,882,676 is 41966087436.
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 798 x 403 x 882 x 676 = 137480902440336
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
403 : 1, 13, 31, 403
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,798,403,882,676, is 1.
Now, the common factors can be found like this.
717:3x 239
798:2x 3x 7x 19
403:13x 31
882:2x 3x 3x 7x 7
676:2x 2x 13x 13
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 7x 13 = 3276
Therefore, the value for common factors is 3276.
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 = 137480902440336/(1x3276)
LCM = 137480902440336/3276
LCM = 41966087436
Thus, we can understand that the LCM of 717,798,403,882,676 is 41966087436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 798, 403, 882, 676?
Answer: LCM of 717, 798, 403, 882, 676 is 41966087436.
2. How to calculate the LCM of 717, 798, 403, 882, 676?
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, 798, 403, 882, 676.
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}.