Find the LCM of 110, 653, 834, 695, 232 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 110, 653, 834, 695, 232. So, keep reading to learn more.
Given numbers are 110,653,834,695,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,653,834,695,232 is 3474560760.
Find LCM of 110,653,834,695,232 with Prime Factorization
2 | 110, 653, 834, 695, 232 |
5 | 55, 653, 417, 695, 116 |
139 | 11, 653, 417, 139, 116 |
11, 653, 3, 1, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 139 x 11 x 653 x 3 x 1 x 116 = 3474560760
Therefore, the lowest common multiple of 110,653,834,695,232 is 3474560760.
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.
110 x 653 x 834 x 695 x 232 = 9659278912800
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
653 : 1, 653
834 : 1, 2, 3, 6, 139, 278, 417, 834
695 : 1, 5, 139, 695
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,653,834,695,232, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
653:653
834:2x 3x 139
695:5x 139
232:2x 2x 2x 29
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 5x 139 = 2780
Therefore, the value for common factors is 2780.
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 = 9659278912800/(1x2780)
LCM = 9659278912800/2780
LCM = 3474560760
Thus, we can understand that the LCM of 110,653,834,695,232 is 3474560760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 110, 653, 834, 695, 232?
Answer: LCM of 110, 653, 834, 695, 232 is 3474560760.
2. How to calculate the LCM of 110, 653, 834, 695, 232?
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 110, 653, 834, 695, 232.
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}.