LCM of 106, 238, 852, 574, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 238, 852, 574, 611 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 106, 238, 852, 574, 611. So, keep reading to learn more.
Given numbers are 106,238,852,574,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,238,852,574,611 is 134613151764.
Find LCM of 106,238,852,574,611 with Prime Factorization
| 2 | 106, 238, 852, 574, 611 |
| 7 | 53, 119, 426, 287, 611 |
| 53, 17, 426, 41, 611 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 17 x 426 x 41 x 611 = 134613151764
Therefore, the lowest common multiple of 106,238,852,574,611 is 134613151764.
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.
106 x 238 x 852 x 574 x 611 = 7538336498784
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.
106 : 1, 2, 53, 106
238 : 1, 2, 7, 14, 17, 34, 119, 238
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
574 : 1, 2, 7, 14, 41, 82, 287, 574
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,238,852,574,611, is 1.
Now, the common factors can be found like this.
106:2x 53
238:2x 7x 17
852:2x 2x 3x 71
574:2x 7x 41
611:13x 47
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 7 = 56
Therefore, the value for common factors is 56.
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 = 7538336498784/(1x56)
LCM = 7538336498784/56
LCM = 134613151764
Thus, we can understand that the LCM of 106,238,852,574,611 is 134613151764.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 106, 238, 852, 574, 611
1. What is the LCM of 106, 238, 852, 574, 611?
Answer: LCM of 106, 238, 852, 574, 611 is 134613151764.
2. How to calculate the LCM of 106, 238, 852, 574, 611?
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 106, 238, 852, 574, 611.
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}.