LCM of 132, 742, 417, 455, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 742, 417, 455, 438 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, 742, 417, 455, 438. So, keep reading to learn more.
Given numbers are 132,742,417,455,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,742,417,455,438 is 32299727460.
Find LCM of 132,742,417,455,438 with Prime Factorization
| 2 | 132, 742, 417, 455, 438 |
| 3 | 66, 371, 417, 455, 219 |
| 7 | 22, 371, 139, 455, 73 |
| 22, 53, 139, 65, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 22 x 53 x 139 x 65 x 73 = 32299727460
Therefore, the lowest common multiple of 132,742,417,455,438 is 32299727460.
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 742 x 417 x 455 x 438 = 8139531319920
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
417 : 1, 3, 139, 417
455 : 1, 5, 7, 13, 35, 65, 91, 455
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,742,417,455,438, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
742:2x 7x 53
417:3x 139
455:5x 7x 13
438:2x 3x 73
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 7 = 252
Therefore, the value for common factors is 252.
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 = 8139531319920/(1x252)
LCM = 8139531319920/252
LCM = 32299727460
Thus, we can understand that the LCM of 132,742,417,455,438 is 32299727460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 132, 742, 417, 455, 438
1. What is the LCM of 132, 742, 417, 455, 438?
Answer: LCM of 132, 742, 417, 455, 438 is 32299727460.
2. How to calculate the LCM of 132, 742, 417, 455, 438?
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, 742, 417, 455, 438.
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}.