LCM of 412, 362, 446, 992, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 362, 446, 992, 465 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 412, 362, 446, 992, 465. So, keep reading to learn more.
Given numbers are 412,362,446,992,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,362,446,992,465 is 61861948320.
Find LCM of 412,362,446,992,465 with Prime Factorization
| 2 | 412, 362, 446, 992, 465 |
| 2 | 206, 181, 223, 496, 465 |
| 31 | 103, 181, 223, 248, 465 |
| 103, 181, 223, 8, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 103 x 181 x 223 x 8 x 15 = 61861948320
Therefore, the lowest common multiple of 412,362,446,992,465 is 61861948320.
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.
412 x 362 x 446 x 992 x 465 = 30683526366720
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.
412 : 1, 2, 4, 103, 206, 412
362 : 1, 2, 181, 362
446 : 1, 2, 223, 446
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,362,446,992,465, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
362:2x 181
446:2x 223
992:2x 2x 2x 2x 2x 31
465:3x 5x 31
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 31 = 496
Therefore, the value for common factors is 496.
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 = 30683526366720/(1x496)
LCM = 30683526366720/496
LCM = 61861948320
Thus, we can understand that the LCM of 412,362,446,992,465 is 61861948320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 362, 446, 992, 465
1. What is the LCM of 412, 362, 446, 992, 465?
Answer: LCM of 412, 362, 446, 992, 465 is 61861948320.
2. How to calculate the LCM of 412, 362, 446, 992, 465?
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 412, 362, 446, 992, 465.
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}.