Find the LCM of 136, 208, 872, 431, 334 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 136, 208, 872, 431, 334. So, keep reading to learn more.
Given numbers are 136,208,872,431,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,208,872,431,334 is 27741663248.
Find LCM of 136,208,872,431,334 with Prime Factorization
2 | 136, 208, 872, 431, 334 |
2 | 68, 104, 436, 431, 167 |
2 | 34, 52, 218, 431, 167 |
17, 26, 109, 431, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 26 x 109 x 431 x 167 = 27741663248
Therefore, the lowest common multiple of 136,208,872,431,334 is 27741663248.
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.
136 x 208 x 872 x 431 x 334 = 3550932895744
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
872 : 1, 2, 4, 8, 109, 218, 436, 872
431 : 1, 431
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,208,872,431,334, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
208:2x 2x 2x 2x 13
872:2x 2x 2x 109
431:431
334:2x 167
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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 3550932895744/(1x128)
LCM = 3550932895744/128
LCM = 27741663248
Thus, we can understand that the LCM of 136,208,872,431,334 is 27741663248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 136, 208, 872, 431, 334?
Answer: LCM of 136, 208, 872, 431, 334 is 27741663248.
2. How to calculate the LCM of 136, 208, 872, 431, 334?
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 136, 208, 872, 431, 334.
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}.