LCM of 463, 120, 462, 120, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 120, 462, 120, 150 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 463, 120, 462, 120, 150. So, keep reading to learn more.
Given numbers are 463,120,462,120,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,120,462,120,150 is 21390600.
Find LCM of 463,120,462,120,150 with Prime Factorization
| 2 | 463, 120, 462, 120, 150 |
| 2 | 463, 60, 231, 60, 75 |
| 2 | 463, 30, 231, 30, 75 |
| 3 | 463, 15, 231, 15, 75 |
| 5 | 463, 5, 77, 5, 25 |
| 463, 1, 77, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 463 x 1 x 77 x 1 x 5 = 21390600
Therefore, the lowest common multiple of 463,120,462,120,150 is 21390600.
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.
463 x 120 x 462 x 120 x 150 = 462036960000
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.
463 : 1, 463
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,120,462,120,150, is 1.
Now, the common factors can be found like this.
463:463
120:2x 2x 2x 3x 5
462:2x 3x 7x 11
120:2x 2x 2x 3x 5
150:2x 3x 5x 5
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 2x 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 462036960000/(1x21600)
LCM = 462036960000/21600
LCM = 21390600
Thus, we can understand that the LCM of 463,120,462,120,150 is 21390600.
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FAQs on LCM of 463, 120, 462, 120, 150
1. What is the LCM of 463, 120, 462, 120, 150?
Answer: LCM of 463, 120, 462, 120, 150 is 21390600.
2. How to calculate the LCM of 463, 120, 462, 120, 150?
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 463, 120, 462, 120, 150.
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}.