Find the LCM of 797, 604, 689, 804, 335 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 797, 604, 689, 804, 335. So, keep reading to learn more.
Given numbers are 797,604,689,804,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,604,689,804,335 is 333334713660.
Find LCM of 797,604,689,804,335 with Prime Factorization
2 | 797, 604, 689, 804, 335 |
2 | 797, 302, 689, 402, 335 |
67 | 797, 151, 689, 201, 335 |
797, 151, 689, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 797 x 151 x 689 x 3 x 5 = 333334713660
Therefore, the lowest common multiple of 797,604,689,804,335 is 333334713660.
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.
797 x 604 x 689 x 804 x 335 = 89333703260880
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.
797 : 1, 797
604 : 1, 2, 4, 151, 302, 604
689 : 1, 13, 53, 689
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,604,689,804,335, is 1.
Now, the common factors can be found like this.
797:797
604:2x 2x 151
689:13x 53
804:2x 2x 3x 67
335:5x 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 2x 67 = 268
Therefore, the value for common factors is 268.
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 = 89333703260880/(1x268)
LCM = 89333703260880/268
LCM = 333334713660
Thus, we can understand that the LCM of 797,604,689,804,335 is 333334713660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 797, 604, 689, 804, 335?
Answer: LCM of 797, 604, 689, 804, 335 is 333334713660.
2. How to calculate the LCM of 797, 604, 689, 804, 335?
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 797, 604, 689, 804, 335.
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}.