LCM of 450, 945, 682, 150, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 945, 682, 150, 379 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 450, 945, 682, 150, 379. So, keep reading to learn more.
Given numbers are 450,945,682,150,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,945,682,150,379 is 1221308550.
Find LCM of 450,945,682,150,379 with Prime Factorization
| 2 | 450, 945, 682, 150, 379 |
| 3 | 225, 945, 341, 75, 379 |
| 3 | 25, 315, 341, 75, 379 |
| 5 | 25, 105, 341, 25, 379 |
| 5 | 5, 21, 341, 5, 379 |
| 1, 21, 341, 1, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 1 x 21 x 341 x 1 x 379 = 1221308550
Therefore, the lowest common multiple of 450,945,682,150,379 is 1221308550.
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.
450 x 945 x 682 x 150 x 379 = 16487665425000
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
682 : 1, 2, 11, 22, 31, 62, 341, 682
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,945,682,150,379, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
945:3x 3x 3x 5x 7
682:2x 11x 31
150:2x 3x 5x 5
379:379
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 3x 3x 3x 5x 5x 5 = 13500
Therefore, the value for common factors is 13500.
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 = 16487665425000/(1x13500)
LCM = 16487665425000/13500
LCM = 1221308550
Thus, we can understand that the LCM of 450,945,682,150,379 is 1221308550.
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FAQs on LCM of 450, 945, 682, 150, 379
1. What is the LCM of 450, 945, 682, 150, 379?
Answer: LCM of 450, 945, 682, 150, 379 is 1221308550.
2. How to calculate the LCM of 450, 945, 682, 150, 379?
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 450, 945, 682, 150, 379.
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}.