LCM of 243, 424, 689, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 424, 689, 936 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 243, 424, 689, 936. So, keep reading to learn more.
Given numbers are 243,424,689,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,424,689,936 is 1339416.
Find LCM of 243,424,689,936 with Prime Factorization
| 2 | 243, 424, 689, 936 |
| 2 | 243, 212, 689, 468 |
| 2 | 243, 106, 689, 234 |
| 3 | 243, 53, 689, 117 |
| 3 | 81, 53, 689, 39 |
| 13 | 27, 53, 689, 13 |
| 53 | 27, 53, 53, 1 |
| 27, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 53 x 27 x 1 x 1 x 1 = 1339416
Therefore, the lowest common multiple of 243,424,689,936 is 1339416.
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.
243 x 424 x 689 x 936 = 66445748928
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.
243 : 1, 3, 9, 27, 81, 243
424 : 1, 2, 4, 8, 53, 106, 212, 424
689 : 1, 13, 53, 689
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,424,689,936, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
424:2x 2x 2x 53
689:13x 53
936:2x 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 3x 3x 13x 53 = 49608
Therefore, the value for common factors is 49608.
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 = 66445748928/(1x49608)
LCM = 66445748928/49608
LCM = 1339416
Thus, we can understand that the LCM of 243,424,689,936 is 1339416.
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FAQs on LCM of 243, 424, 689, 936
1. What is the LCM of 243, 424, 689, 936?
Answer: LCM of 243, 424, 689, 936 is 1339416.
2. How to calculate the LCM of 243, 424, 689, 936?
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 243, 424, 689, 936.
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}.