LCM of 802, 522, 363, 904, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 522, 363, 904, 946 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, 522, 363, 904, 946. So, keep reading to learn more.
Given numbers are 802,522,363,904,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,522,363,904,946 is 492274269432.
Find LCM of 802,522,363,904,946 with Prime Factorization
| 2 | 802, 522, 363, 904, 946 |
| 3 | 401, 261, 363, 452, 473 |
| 11 | 401, 87, 121, 452, 473 |
| 401, 87, 11, 452, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 401 x 87 x 11 x 452 x 43 = 492274269432
Therefore, the lowest common multiple of 802,522,363,904,946 is 492274269432.
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 522 x 363 x 904 x 946 = 129960407130048
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
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
363 : 1, 3, 11, 33, 121, 363
904 : 1, 2, 4, 8, 113, 226, 452, 904
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,522,363,904,946, is 1.
Now, the common factors can be found like this.
802:2x 401
522:2x 3x 3x 29
363:3x 11x 11
904:2x 2x 2x 113
946:2x 11x 43
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 129960407130048/(1x264)
LCM = 129960407130048/264
LCM = 492274269432
Thus, we can understand that the LCM of 802,522,363,904,946 is 492274269432.
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FAQs on LCM of 802, 522, 363, 904, 946
1. What is the LCM of 802, 522, 363, 904, 946?
Answer: LCM of 802, 522, 363, 904, 946 is 492274269432.
2. How to calculate the LCM of 802, 522, 363, 904, 946?
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, 522, 363, 904, 946.
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}.