LCM of 132, 209, 456, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 209, 456, 468 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, 209, 456, 468. So, keep reading to learn more.
Given numbers are 132,209,456,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,209,456,468 is 195624.
Find LCM of 132,209,456,468 with Prime Factorization
| 2 | 132, 209, 456, 468 |
| 2 | 66, 209, 228, 234 |
| 3 | 33, 209, 114, 117 |
| 11 | 11, 209, 38, 39 |
| 19 | 1, 19, 38, 39 |
| 1, 1, 2, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 1 x 1 x 2 x 39 = 195624
Therefore, the lowest common multiple of 132,209,456,468 is 195624.
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 209 x 456 x 468 = 5887499904
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
209 : 1, 11, 19, 209
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,209,456,468, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
209:11x 19
456:2x 2x 2x 3x 19
468:2x 2x 3x 3x 13
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 3x 11x 19 = 30096
Therefore, the value for common factors is 30096.
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 = 5887499904/(1x30096)
LCM = 5887499904/30096
LCM = 195624
Thus, we can understand that the LCM of 132,209,456,468 is 195624.
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FAQs on LCM of 132, 209, 456, 468
1. What is the LCM of 132, 209, 456, 468?
Answer: LCM of 132, 209, 456, 468 is 195624.
2. How to calculate the LCM of 132, 209, 456, 468?
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, 209, 456, 468.
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}.