Find the LCM of 802, 534, 408, 794, 424 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 802, 534, 408, 794, 424. So, keep reading to learn more.
Given numbers are 802,534,408,794,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,534,408,794,424 is 306380357592.
Find LCM of 802,534,408,794,424 with Prime Factorization
2 | 802, 534, 408, 794, 424 |
2 | 401, 267, 204, 397, 212 |
2 | 401, 267, 102, 397, 106 |
3 | 401, 267, 51, 397, 53 |
401, 89, 17, 397, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 401 x 89 x 17 x 397 x 53 = 306380357592
Therefore, the lowest common multiple of 802,534,408,794,424 is 306380357592.
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.
802 x 534 x 408 x 794 x 424 = 58825028657664
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.
802 : 1, 2, 401, 802
534 : 1, 2, 3, 6, 89, 178, 267, 534
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
794 : 1, 2, 397, 794
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,534,408,794,424, is 2.
Now, the common factors can be found like this.
802:2x 401
534:2x 3x 89
408:2x 2x 2x 3x 17
794:2x 397
424:2x 2x 2x 53
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 58825028657664/(2x96)
LCM = 58825028657664/192
LCM = 306380357592
Thus, we can understand that the LCM of 802,534,408,794,424 is 306380357592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 534, 408, 794, 424?
Answer: LCM of 802, 534, 408, 794, 424 is 306380357592.
2. How to calculate the LCM of 802, 534, 408, 794, 424?
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 802, 534, 408, 794, 424.
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}.