LCM of 369, 412, 361, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 412, 361, 928 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 369, 412, 361, 928. So, keep reading to learn more.
Given numbers are 369,412,361,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,412,361,928 is 12732649056.
Find LCM of 369,412,361,928 with Prime Factorization
| 2 | 369, 412, 361, 928 |
| 2 | 369, 206, 361, 464 |
| 369, 103, 361, 232 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 369 x 103 x 361 x 232 = 12732649056
Therefore, the lowest common multiple of 369,412,361,928 is 12732649056.
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.
369 x 412 x 361 x 928 = 50930596224
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.
369 : 1, 3, 9, 41, 123, 369
412 : 1, 2, 4, 103, 206, 412
361 : 1, 19, 361
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,412,361,928, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
412:2x 2x 103
361:19x 19
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 50930596224/(1x4)
LCM = 50930596224/4
LCM = 12732649056
Thus, we can understand that the LCM of 369,412,361,928 is 12732649056.
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FAQs on LCM of 369, 412, 361, 928
1. What is the LCM of 369, 412, 361, 928?
Answer: LCM of 369, 412, 361, 928 is 12732649056.
2. How to calculate the LCM of 369, 412, 361, 928?
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 369, 412, 361, 928.
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}.