LCM of 400, 450, 412, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 450, 412, 919 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 400, 450, 412, 919. So, keep reading to learn more.
Given numbers are 400,450,412,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,450,412,919 is 340765200.
Find LCM of 400,450,412,919 with Prime Factorization
| 2 | 400, 450, 412, 919 |
| 2 | 200, 225, 206, 919 |
| 5 | 100, 225, 103, 919 |
| 5 | 20, 45, 103, 919 |
| 4, 9, 103, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 4 x 9 x 103 x 919 = 340765200
Therefore, the lowest common multiple of 400,450,412,919 is 340765200.
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.
400 x 450 x 412 x 919 = 68153040000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
412 : 1, 2, 4, 103, 206, 412
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,450,412,919, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
450:2x 3x 3x 5x 5
412:2x 2x 103
919:919
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 68153040000/(1x200)
LCM = 68153040000/200
LCM = 340765200
Thus, we can understand that the LCM of 400,450,412,919 is 340765200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 400, 450, 412, 919
1. What is the LCM of 400, 450, 412, 919?
Answer: LCM of 400, 450, 412, 919 is 340765200.
2. How to calculate the LCM of 400, 450, 412, 919?
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 400, 450, 412, 919.
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}.