Find the LCM of 559, 538, 936, 689, 110 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 559, 538, 936, 689, 110. So, keep reading to learn more.
Given numbers are 559,538,936,689,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,538,936,689,110 is 31559865480.
Find LCM of 559,538,936,689,110 with Prime Factorization
2 | 559, 538, 936, 689, 110 |
13 | 559, 269, 468, 689, 55 |
43, 269, 36, 53, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 43 x 269 x 36 x 53 x 55 = 31559865480
Therefore, the lowest common multiple of 559,538,936,689,110 is 31559865480.
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.
559 x 538 x 936 x 689 x 110 = 21334469064480
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.
559 : 1, 13, 43, 559
538 : 1, 2, 269, 538
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
689 : 1, 13, 53, 689
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,538,936,689,110, is 1.
Now, the common factors can be found like this.
559:13x 43
538:2x 269
936:2x 2x 2x 3x 3x 13
689:13x 53
110:2x 5x 11
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 21334469064480/(1x676)
LCM = 21334469064480/676
LCM = 31559865480
Thus, we can understand that the LCM of 559,538,936,689,110 is 31559865480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 559, 538, 936, 689, 110?
Answer: LCM of 559, 538, 936, 689, 110 is 31559865480.
2. How to calculate the LCM of 559, 538, 936, 689, 110?
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 559, 538, 936, 689, 110.
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}.