Find the LCM of 138, 848, 165, 212, 437 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 138, 848, 165, 212, 437. So, keep reading to learn more.
Given numbers are 138,848,165,212,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,848,165,212,437 is 61145040.
Find LCM of 138,848,165,212,437 with Prime Factorization
2 | 138, 848, 165, 212, 437 |
2 | 69, 424, 165, 106, 437 |
3 | 69, 212, 165, 53, 437 |
23 | 23, 212, 55, 53, 437 |
53 | 1, 212, 55, 53, 19 |
1, 4, 55, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 53 x 1 x 4 x 55 x 1 x 19 = 61145040
Therefore, the lowest common multiple of 138,848,165,212,437 is 61145040.
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.
138 x 848 x 165 x 212 x 437 = 1788859290240
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
165 : 1, 3, 5, 11, 15, 33, 55, 165
212 : 1, 2, 4, 53, 106, 212
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,848,165,212,437, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
848:2x 2x 2x 2x 53
165:3x 5x 11
212:2x 2x 53
437:19x 23
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 23x 53 = 29256
Therefore, the value for common factors is 29256.
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 = 1788859290240/(1x29256)
LCM = 1788859290240/29256
LCM = 61145040
Thus, we can understand that the LCM of 138,848,165,212,437 is 61145040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 848, 165, 212, 437?
Answer: LCM of 138, 848, 165, 212, 437 is 61145040.
2. How to calculate the LCM of 138, 848, 165, 212, 437?
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 138, 848, 165, 212, 437.
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}.