LCM of 946, 442, 582, 949, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 442, 582, 949, 684 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 946, 442, 582, 949, 684. So, keep reading to learn more.
Given numbers are 946,442,582,949,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,442,582,949,684 is 506295550332.
Find LCM of 946,442,582,949,684 with Prime Factorization
| 2 | 946, 442, 582, 949, 684 |
| 3 | 473, 221, 291, 949, 342 |
| 13 | 473, 221, 97, 949, 114 |
| 473, 17, 97, 73, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 473 x 17 x 97 x 73 x 114 = 506295550332
Therefore, the lowest common multiple of 946,442,582,949,684 is 506295550332.
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.
946 x 442 x 582 x 949 x 684 = 157964211703584
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
442 : 1, 2, 13, 17, 26, 34, 221, 442
582 : 1, 2, 3, 6, 97, 194, 291, 582
949 : 1, 13, 73, 949
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,442,582,949,684, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
442:2x 13x 17
582:2x 3x 97
949:13x 73
684:2x 2x 3x 3x 19
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 13 = 312
Therefore, the value for common factors is 312.
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 = 157964211703584/(1x312)
LCM = 157964211703584/312
LCM = 506295550332
Thus, we can understand that the LCM of 946,442,582,949,684 is 506295550332.
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FAQs on LCM of 946, 442, 582, 949, 684
1. What is the LCM of 946, 442, 582, 949, 684?
Answer: LCM of 946, 442, 582, 949, 684 is 506295550332.
2. How to calculate the LCM of 946, 442, 582, 949, 684?
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 946, 442, 582, 949, 684.
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}.