LCM of 443, 424, 726, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 424, 726, 108 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 443, 424, 726, 108. So, keep reading to learn more.
Given numbers are 443,424,726,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,424,726,108 is 613647144.
Find LCM of 443,424,726,108 with Prime Factorization
| 2 | 443, 424, 726, 108 |
| 2 | 443, 212, 363, 54 |
| 3 | 443, 106, 363, 27 |
| 443, 106, 121, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 443 x 106 x 121 x 9 = 613647144
Therefore, the lowest common multiple of 443,424,726,108 is 613647144.
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.
443 x 424 x 726 x 108 = 14727531456
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.
443 : 1, 443
424 : 1, 2, 4, 8, 53, 106, 212, 424
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,424,726,108, is 1.
Now, the common factors can be found like this.
443:443
424:2x 2x 2x 53
726:2x 3x 11x 11
108:2x 2x 3x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 14727531456/(1x24)
LCM = 14727531456/24
LCM = 613647144
Thus, we can understand that the LCM of 443,424,726,108 is 613647144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 443, 424, 726, 108
1. What is the LCM of 443, 424, 726, 108?
Answer: LCM of 443, 424, 726, 108 is 613647144.
2. How to calculate the LCM of 443, 424, 726, 108?
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 443, 424, 726, 108.
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}.