LCM of 132, 174, 460, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 174, 460, 576 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 132, 174, 460, 576. So, keep reading to learn more.
Given numbers are 132,174,460,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,174,460,576 is 21130560.
Find LCM of 132,174,460,576 with Prime Factorization
| 2 | 132, 174, 460, 576 |
| 2 | 66, 87, 230, 288 |
| 3 | 33, 87, 115, 144 |
| 11, 29, 115, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 115 x 48 = 21130560
Therefore, the lowest common multiple of 132,174,460,576 is 21130560.
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.
132 x 174 x 460 x 576 = 6085601280
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
174 : 1, 2, 3, 6, 29, 58, 87, 174
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,174,460,576, is 2.
Now, the common factors can be found like this.
132:2x 2x 3x 11
174:2x 3x 29
460:2x 2x 5x 23
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 6085601280/(2x144)
LCM = 6085601280/288
LCM = 21130560
Thus, we can understand that the LCM of 132,174,460,576 is 21130560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 132, 174, 460, 576
1. What is the LCM of 132, 174, 460, 576?
Answer: LCM of 132, 174, 460, 576 is 21130560.
2. How to calculate the LCM of 132, 174, 460, 576?
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 132, 174, 460, 576.
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}.