LCM of 811, 369, 424, 972, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 369, 424, 972, 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 811, 369, 424, 972, 438. So, keep reading to learn more.
Given numbers are 811,369,424,972,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,369,424,972,438 is 250091943336.
Find LCM of 811,369,424,972,438 with Prime Factorization
| 2 | 811, 369, 424, 972, 438 |
| 2 | 811, 369, 212, 486, 219 |
| 3 | 811, 369, 106, 243, 219 |
| 3 | 811, 123, 106, 81, 73 |
| 811, 41, 106, 27, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 811 x 41 x 106 x 27 x 73 = 250091943336
Therefore, the lowest common multiple of 811,369,424,972,438 is 250091943336.
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.
811 x 369 x 424 x 972 x 438 = 54019859760576
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.
811 : 1, 811
369 : 1, 3, 9, 41, 123, 369
424 : 1, 2, 4, 8, 53, 106, 212, 424
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 811,369,424,972,438, is 1.
Now, the common factors can be found like this.
811:811
369:3x 3x 41
424:2x 2x 2x 53
972:2x 2x 3x 3x 3x 3x 3
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 54019859760576/(1x216)
LCM = 54019859760576/216
LCM = 250091943336
Thus, we can understand that the LCM of 811,369,424,972,438 is 250091943336.
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FAQs on LCM of 811, 369, 424, 972, 438
1. What is the LCM of 811, 369, 424, 972, 438?
Answer: LCM of 811, 369, 424, 972, 438 is 250091943336.
2. How to calculate the LCM of 811, 369, 424, 972, 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 811, 369, 424, 972, 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}.